Question

Can someone help me if this is correct

Answer 1

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 $A^{2} +B^{2} =C^{2}$ 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  $A^{2} +B^{2} =C^{2}$  -->

$8^{2} +6^{2} =C^{2}$  --> $64+36=C^{2}$ --> $100=C^{2}$ --> $\sqrt{100}=\sqrt{C^{2} }$ --> C=10

This means that the hypotenuse (QR or C) equals 10