What are the values of a and b?

a = 9/2, b = 15/2

Step-by-step explanation:

the left triangle with legs of 6 and 8 with hypotenuse of 10 is congruent to the bottom triangle with legs of 6 and 'a' with hypotenuse of 'b' due to angle-side-angle

therefore you can set up this proportion to find the value of 'a':

6/a = 8/6

8a = 36

a = 36/8 or 9/2

you can set up this proportion to find the value of 'b':

10/8 = b/6

8b = 60

b = 60/8 or 15/2