Question

NEED HELP ASAP 70 POINTS

What is the value of x?


Enter your answer in the box.


x =

in.

Answer 1

x = 24 inches

Explanation:

We can use similar triangles to solve this problem. Put the same side of the small triangle over the same side of the large triangle

5 in 8 in

--------- = ------------

15 in x in

Using cross products

5x = 8*15

Divide by 5

5x/5 = 8*15/5

x = 8*3

x = 24 inches

Answer 2

Look at the picture.

We have the similar triangles (AAA). Therefore the lengths of the sides are in proportion:

`(x)/(8)=(15)/(5)`

`(x)/(8)=3` multiply both sides by 8

`\boxed{x=24\ in}`