Question

What type of equation is used? (Leg/Altitude Proportion)

Answer 1

Step-by-step explanation:

In each case, use similar triangles to write a proportion.

If it helps, draw each triangle separately, with the right angles in the same position.

7. Write a proportion between the smaller triangles:

5 / 8 = 8 / (x−5)

64 = 5 (x−5)

12.8 = x−5

x = 17.8

9. Write a proportion between the top triangle and the big triangle:

x / 4 = 4 / (x+6)

16 = x (x+6)

16 = x² + 6x

0 = x² + 6x − 16

0 = (x−2) (x+8)

x = 2

11. Write a proportion between the smaller triangles:

3 / 4 = 4 / x

16 = 3x

x = 5.33

13. Write a proportion between the top triangle and the big triangle:

3 / x = x / (3+4)

x² = 21

x = 4.58