What are the values of a and b?

Answer:
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