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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?

User Mike Owens
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2 Answers

4 votes

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

Explanation:

User Dreamcrash
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3 votes

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.

User AlcubierreDrive
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