Question

What are the values of a and b?

Answer 1

A.
`\bold{a=\frac92\ ,\quad b=\frac{15}2}`

Explanation:

The segment 6 is dividing the large triangle to similar triangles, so:

`\frac a6=\frac b{10}=\frac68`

Therefore:

`\frac a6=\frac68\\\\8a=36\\\\a=\frac{36}8=\frac92` and
`\frac b{10}=\frac68\\\\8b=60\\\\b=\frac{60}8=\frac{15}2`