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 [tex](0.5)^2+(1.2)^2 = (1.3)^2[/tex]
The art is rectangular because [tex](0.5)^2-(1.2)^2 < (1.3)^2[/tex]
The art is not rectangular because [tex](0.5)^2+(1.2)^2 \neq (1.3)^2[/tex]
Answer:
The art is rectangular because [tex](0.5)^2+(1.2)^2 = (1.3)^2[/tex]
Step-by-step 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
[tex]\sqrt{(0.5)^2 +(1.2)^2} = 1.3[/tex]
[tex]\sqrt{(0.25)+(1.44)} = 1.3[/tex]
[tex]\sqrt{1.69} = 1.3[/tex]
1.3 =1.3
Thus they are equal.
Answer: The art is rectangular because (.5)2 +(1.2)2 = (1.3)2
Step-by-step explanation:
