Chapter 6.4, Problem 12E

To determine

To Find: the ratio of the lengths of corresponding sides of triangle A to figure B

Answer to Problem 12E

The ratio is $\frac{3}{2}$

Explanation of Solution

Given information: From the figure provided in the question. The lengths of the sides are

  $\text{JL}=\text{3 cm, KL = 1}\text{.5 cm, PR = 2 cm, QR = 1 cm}$

Calculation:

Figures JKL and PQR represents an isoscelestriangle,in an isosceles triangle any two sides are considered equal out of the three sides.

Since , $JKL\sim PQR$

Therefore, ratio of corresponding sides is calculated as,

  $\frac{JL}{PR}=\frac{3}{2},\frac{KL}{QR}=\frac{1.5}{1}$

For similar trianglesthe corresponding sides are equal.

  $\frac{JL}{PR}=\frac{KL}{QR}=\frac{3}{2}$

Hence. the ratio is $\frac{3}{2}$