Answer:
D.117 square in
Step-by-step explanation:
We are given that
Side length of square A=6 in
Side length of square B=9 in
We have to find the area of square C if the tree squares create a right triangle.
By using Pythagoras theorem
[tex](hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2[/tex]
Side of square C
[tex](Hypotenuse)^2=6^2+9^2[/tex]
[tex](Hypotenuse)^2=117[/tex]
[tex]Hypotenuse=\sqrt{117}[/tex]
Now,
The area of square C=[tex](side)^2[/tex]
The area of square C=[tex](\sqrt{117})^2=117 in^2[/tex]
Option D is true.
