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

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

Because
`25=9+16`

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=
`√(Area\;of\;square)`

Using the formula

Side of square A=
`√(9)`=3 units

Side of square B=
`√(16)=4` units

Side of square C=
`√(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