Answer:
No, the correct answer is (c) 10 inches
Step-by-step explanation:
Triangles are always 1/2 the area of recatngles and to find the missing side of a rectangle, you just need to divide the area by known side.
Apply this knowledge to triangles:
First, I wanted to find the length of PR so that I can use the [tex]A^{2} +B^{2} =C^{2}[/tex] formula to find QR, so I just doubled the area of the triangle (24 -> 48) and divided it by QP (8) to get 6 for PR.
(I can do this because those 2 sides are the same size whether the shape is a triangle or a rectangle)
Now that we know the lengths of the 2 sides, plly it to [tex]A^{2} +B^{2} =C^{2}[/tex] -->
[tex]8^{2} +6^{2} =C^{2}[/tex] --> [tex]64+36=C^{2}[/tex] --> [tex]100=C^{2}[/tex] --> [tex]\sqrt{100}=\sqrt{C^{2} }[/tex] --> C=10
This means that the hypotenuse (QR or C) equals 10
