Answer:
The art is rectangular because [tex](0.5) ^2 + (1.2) ^2 = (1.3) ^2[/tex]
(0.5) squared + (1.2) squared = (1.3) squared
Step-by-step explanation:
Given that the piece of art is rectangular in shape.
Length of piece of art = 0.5 meters
Width of piece of art = 1.2 meters
Kindly refer to the attached image in the answer area.
Two adjacent sides of a rectangle are given, the diagonal value can be found by using Pythagorean Theorem.
According to Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]
Here, Hypotenuse will be the diagonal of the rectangle.
Base and Perpendicular will be the two adjacent sides.
Therefore,
[tex]Diagonal^2 = 0.5^2+0.12^2\\\Rightarrow Diagonal^2 = 0.25+1.44\\\Rightarrow Diagonal = \sqrt{1.69}\\\Rightarrow Diagonal = 1.3\ m[/tex]
Therefore, the answer is:
The art is rectangular because [tex](0.5) ^2 + (1.2) ^2 = (1.3) ^2[/tex]
OR
(0.5) squared + (1.2) squared = (1.3) squared
