what are the values of a and b. a=9/2, b=15/2 | a=15/2, b=9/2 | a=16/3, b=15/2 | a=9/2, b=13/2

To solve for a and b, we must create a proportion.

Triangle 10-8-6 is similar to triangle b-6-a, which are both similar to triangle 8+a-10-b.

10/8=b/6
60 = 8b
b = 15/2 = 7.5

8/6=6/a
36=8a
a=4.5

We can confirm by using the Pythagorean theorem:

4.5² + 6² = 7.5²

56.25 = 56.25

The equation is true, so a must equal 4.5 and b must equal 7.5. Choose the first option.