Question

What are the values of a and b?

a. a=400/21 ,b=580/21
b. a=400/21 ,b=20/21
c. a= 580/21 ,b=29/21
d. a=20/21 ,b=580/21

Answer 1

You have 3 triangles: the big one, and the two smaller ones. All three are similar.
You can set up ratios of corresponding sides.

can you set up a ratio between 2 legs of the small triangle on the left with 2 legs of the small triangle on the right (including leg a, because you want to solve for a)
??