Question

What are the values of a and b?

Answer 1

Answer:

         A.   $\bold{a=\dfrac92\ ,\quad b=\dfrac{15}2}$

Step-by-step explanation:

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

$\dfrac a6=\dfrac b{10}=\dfrac68$

Therefore:

$\dfrac a6=\dfrac68\\\\8a=36\\\\a=\dfrac{36}8=\dfrac92$            and            $\dfrac b{10}=\dfrac68\\\\8b=60\\\\b=\dfrac{60}8=\dfrac{15}2$