Refer to the above figure. Given that ΔABC ~ ΔDEF, give the area of ΔDEF.

Refer to the above figure. Given that ΔABC ~ ΔDEF, give the area of ΔDEF.

A. 243.75
B. 1,828.125
C. 225
D. 1,687.5
E. The correct answer is not among the other responses.

Correct Answer: D
Explanation/Reference:
Explanation:
By the Pythagorean Theorem,




= 12 The similarity ratio of ΔDEF to ΔABC is

This can be used to find DE:


The area of ΔDEF is therefore

Download Printable PDF. VALID exam to help you PASS.