Question

Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of the corresponding side of the other triangle? a.4 2/3 b.10 1/2 c.14 d.21

Answer 1

$2:3=7:x\\\\\dfrac{7}{x}=\dfrac{2}{3}\ \ \ \ |cross\ multiply\\\\2x=7\cdot3\\\\2x=21\ \ \ |:2\\\\\boxed{x=10\dfrac{1}{2}}$
Answer: b. 10 1/2