Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 18
and AC 36, what is the length of AD?
A
D
36
18
B

Given Right Triangle ABC With Altitude BD Drawn To Hypotenuse AC. If AB = 18and AC 36, What Is The Length

Answers

Answer 1

Answer:

8 is the length

Step-by-step explanation:

Answer 2

The length of AD is 9 units from the given right triangle ABC.

What is a right triangle?

A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.

Given right triangle ABC with altitude BD drawn to hypotenuse AC.

Given that, AB = 18 and AC = 36

Using Pythagoras theorem

AC²=AB²+BC²

⇒ 36²=18²+BC²

⇒ BC²=1296-324

⇒ BC²=972

⇒ BC=31.18 units

We know that, area of a triangle =1/2 × Base × Height

= 1/2 × 31.18 × 18

= 280.62 square units

Now, area of a triangle ABC with base AC and height BD

That is, Area = 1/2 ×36×BD

⇒ 18BD=280.62

⇒ BD=280.62/18

⇒ BD=15.6

Consider ΔBDA

AB²=AD²+BD² (Pythagoras theorem)

18²=x²+15.6²

⇒ x²=18²-15.6²

⇒ x=9 units

Therefore, the length of AD is 9 units from the given right triangle ABC.

To learn more about the right angle visit:

https://brainly.com/question/3770177.

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Related Questions

Solve 3x2−3x=0 by factoring.

Answers

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

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A rectangular prism has a volume of 175 in'. The height of the prism is 7 in. The base is a square. What is the length of a side of the base?​ please help

Answers

Answer:

a=5cm

Step-by-step explanation:

V=B*H

You will get base if you do this:

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B=25

I'm not so good with English, side is probably a,so:

Formula for base: B=a²

Then a=√B

a=√25

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I hope this helps.

Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (-4,-10), midpoint: (-8,-4)

Answers

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

Co-ordinates of one endpoint = (-4 , -10)Co-ordinates of the midpoint = (-8 , -4)

TO FIND :-

Co-ordinates of another endpoint.

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)

Practice for Triangle Ratios (Sides) Please Help!!

Answers

Answer:

hi

Step-by-step explanation:

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hope it helps

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Answer:

Step-by-step explanation:

266

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Answers

Answer:

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Step-by-step explanation:

edge 2020

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What is the recursive rule that represents this situation?



Enter your answers in the boxes.

an
=
a1 =

Answers

Answer:

46

Step-by-step explanation:

Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many different ways can the empty shelf be filled?

Answers

The empty shelf can be filled in 120 ways

The total number of books is

[tex]n = 10[/tex]

The number of books to move is:

[tex]r = 3[/tex]

To fill the empty shelf with three books, we make use of the following combination formula

[tex]^{n}C_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^{10}C_3 = \frac{10!}{(10 - 3)!3!}[/tex]

Evaluate the expression

[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]

Expand

[tex]^{10}C_3 = \frac{10 \times 9 \times 8 \times 7!}{7! \times 3\times 2 \times 1}[/tex]

Cancel out the common factors

[tex]^{10}C_3 = \frac{10 \times 9 \times 8}{3\times 2 \times 1}[/tex]

Evaluate the products

[tex]^{10}C_3 = \frac{720}{6}[/tex]

Divide

[tex]^{10}C_3 = 120[/tex]

Hence, the empty shelf can be filled in 120 ways

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Answers

Answer:

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Step-by-step explanation:

I  hope this helps :)

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Answers

Answer:

12√2

Step-by-step explanation:

It's 12√2 because the hypotenuse of the triangle is 12. that means for a^2 + b^2 = c^2, we get c^2 = 144. a and b are equal so the answer is 6√2.

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Tell whether the given side lengths form a right triangle.
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Answers

Given:

The lengths of the sides of a triangle are 6, 11, 16.

To find:

Whether the given triangles is a right angle triangle or not.

Solution:

Pythagoras theorem:

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.

In the given triangle the length of the largest side is 16.

Square of the largest sides is:

[tex]16^2=256[/tex]

Sum of the squares of the two smaller sides is:

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HELP!!!!!!!! Question 1 (1 point)
What is the value of w to the nearest degree?
15
21
v
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25
Ob
35
40
d
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Answers

Answer: nearest degree is 40

Step-by-step explanation:

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Answers

Answer:

84

Step-by-step explanation:

140% of 60 = 60 times 140% = 60 × 1.4 = 84

Answer:

84

Step-by-step explanation:

We can use a proportion to answer this question.

On the left side of the equal we can put the percentages (at first place the given one and in the second place 100)

On the right side we can put the numbers. x is the 140 of 60, while 60 is the

100%

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Anyone please help asap

Answers

Answer:

Step-by-step explanation:

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[tex]x^{2} 86\sqrt[n]{x} 765997\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] 886600x_{123} 87686\alpha 86865[/tex]




SOLVE

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Answer:not sure

Step-by-step explanation:

just robbing ur points

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What's the answer for B
and C

Answers

9514 1404 393

Answer:

  b = -5

  c = -2

Step-by-step explanation:

The explicit form of a sequence with common ratio r and first term a1 is ...

  an = a1(r^(n-1))

Matching the forms, we see that ...

  b is the first term of the sequence: -5.

  c is the common ratio: 10/-5 = -2.

In summary, ...

  b = -5, c = -2

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Answers

Using conditional probability, it is found that P(A|B) is read as "the probability that A occurs given that B has occurred", hence the statement is:

B. False.

What is conditional probability?

It is the probability of an event B occurring, considering that event A has occurred, and it represented by P(A|B).

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Answers

Answer:

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Step-by-step explanation:

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How many volunteers worked at a total of 4 hours?

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Answers

Answer:

1. y= 3x -10

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4. y= 2/3x- 6

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Answers

Answer:

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Step-by-step explanation:

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Answers

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If this is incorrect, please, don't refrain to tell me. Thank you.

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The workers at Cameron's Flower Shop are putting 1,323 bamboo flowers into vases for a party. Each vase must hold exactly 8 bamboo flowers. What is the total number of flowers the workers can fill completely

Answers

Answer: 165

Step-by-step explanation:

Given

The shop has 1323 bamboo flowers

Each vase can hold exactly 8 bamboo flowers

no of the vase(n) filled with 8 flowers are

[tex]\Rightarrow n=\dfrac{1323}{8}=165.375[/tex]

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Dont scam me pplzzzzz

Answers

Answer:

Step-by-step explanation:

If 2p + 6a = $14

 

and 3p + 9a = $21

 

then the following would also be true:

 

1p + 3a = $7

 

If p = pear and a = apple, how much would each cost?  The unit prices can be determined by looking at the pattern. You can use multiplication to solve the problem.  

 

For example, 1p + 3a*2 = $7

 

p = $1/each

a = $2/each or $6 total

I hope this helps you out.

Answer:

the unit for pears and apples are : 35

Step-by-step explanation:

14 + 21 = 35

or it is 2 x 6 x 3 x 9 wich is : 324 i doubt thats the answer tho

PLEASE HELP!!!! I’ll mark brainliest

Answers

2 I think it is will that’s what it says

Answer:

10

Step-by-step explanation:

h= -4

k= -3

plug in h and k

[tex]\frac{(-4*-3)-4}{2}+6[/tex]

[tex]\frac{(12)-4}{2} +6[/tex]

[tex]\frac{8}{2} +6[/tex]

4 + 6= 10

Solve 8 = 2^X + 4. (1 point)
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b
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Answers

I got x=2
I’m not may I see the question
Don’t think you have the right one
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