Question

AABC is dilated by a factor of to produce AA'B'C!What is B'C, the length of BC after the dilation? What is the measure of _A?

Answer 1

Problem

Solution

For this case the new measurements are:

AB'= 1/2 *34= 17

BC'= 1/2 * 16= 8

CA' = 1/2 * 30=15

Then we can find the new angle A using the following relation:

sin A'= BC' /BA'

Replacing we got:

sin A' = 8/17

A' = sin^-1 (8/17)= 28.07º

And the final answer for this case would be:

C. B'C'=8 , m