Question

Triangle DEF is formed by the three squares P, Q, and R:

A right triangle DEF is shown. On the side DE of this triangle is a square. Inside the square is written Square P, and below it and inside the square is written Area equal to 64 square units. On the side EF of this triangle is another square. Inside the square is written Square Q, and below it and inside the square is written Area equal to 225 square units. On the side DF of this triangle is another square. Inside the square is written Square R, and below it and inside the square is written Area equal to 289 square units.

Which statement best explains the relationship between the sides of triangle DEF?

DE + EF = DF, because 64 + 225 = 289
(DE)2 + (EF)2 = (DF)2, because 172 + 82 = 152
(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289
DE + EF = DF because, 172 + 82 = 152

Answer 1

(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289

Explanation:

Answer 2

using the Pythagorean Theorem

a^2 + b^2 = C^2

so correct answer is:

(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289