Question

Given the following information, is it possible to determine the length of YZ? If so, find the length and explain below. If not, explain why not. Triangle ABC=XYZ, AB=3.7, AC=4.5

Answer 1

YZ cannot be determined from the similar triangles

Explanation:

Given two similar triangles, to get any sides of the triangles, the ratio of their congruent sides is equal to a constant, Hence;

AB/XY = AC/XY

Also, BC/YZ = AB/XY

This shows that to get YZ, both BC and XY must be given. Since we are not given either of the two sides hence YZ cannot be determined from the similar triangles