Question

Jackie plans to place a rectangular piece of art inside a rectangular frame. She considers a piece of art that is 0.5 meters long, 1.2 meters wide, and has a diagonal length of 1.3 meters. Which is true regarding the art piece?

Answer 1

Answer: The art is rectangular because (.5)2 +(1.2)2 = (1.3)2

Explanation:

Answer 2

Question:

Jackie plans to place a rectangular piece of art inside a rectangular frame. She considers a piece of art that is 0.5 meters long, 1.2 meters wide, and has a diagonal length of 1.3 meters. Which is true regarding the art piece?

The art is rectangular because
`(0.5)^2+(1.2)^2 = (1.3)^2`

The art is rectangular because
`(0.5)^2-(1.2)^2 < (1.3)^2`

The art is not rectangular because
`(0.5)^2+(1.2)^2 \\eq (1.3)^2`

Answer:

The art is rectangular because
`(0.5)^2+(1.2)^2 = (1.3)^2`

Explanation:

Given:

Length = 0.5 meters

Width = 1.2 meters

Diagonal = 1.3 meters

Solution:

In an rectangle the sum of square of its side is equal to the square of its diagonal

`√((0.5)^2 +(1.2)^2) = 1.3`

`√((0.25)+(1.44)) = 1.3`

`√(1.69) = 1.3`

1.3 =1.3

Thus they are equal.