Question

Triangle PQR is formed by the three squares A, B, and C:
Which statement best explains the relationship between the sides of triangle PQR?

(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25
PQ + QR = PR, because 9 + 16 = 25
(PQ)2 + (QR)2 = (PR)2, because 52 + 32 = 42
PQ + QR = PR, because 52 + 32 = 42

Answer 1

The first choice if ()2 means to the power of two if not then it is none of them.

Answer 2

Answer:

A.$PR^2=PQ^2+QR^2$

Because $25=9+16$

Step-by-step explanation:

We are given that

Area of square A=$9$ square units

Are of square B=$16$ square units

Area of square C=$25$ square units

We have to find the relationship between sides of triangle PQR.

Side of square=$\sqrt{Area\;of\;square}$

Using the formula

Side of square A=$\sqrt{9}$=3 units

Side of square B=$\sqrt{16}=4$ units

Side of square C=$\sqrt{25}=5$ units

Pythagoras theorem

$(hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2$

Using Pythagoras theorem

$PR^2=PQ^2+QR^2$

$5^2=3^2+4^2$

$25=9+16$

Option A is true