Question

Background Layout - Theme Transition 910 78 45 111 112 113 11 USE THE GIVEN INFORMATION TO ANSWER EACH QUESTION BELOW. 5(4) From the choices at the right, drag the expression that could be used to find the area of each piece 132 Andre needs to paint three square pieces of wood in the sizes shown. He has them arranged so that they meet to form a right triangle A: B: C: 13 Type to record the number of square centimeters Andre will need to paint on each piece 12(4) INTRO TO PYTHAGOREAN THEOREM A: B: C: 122 C 13 cm 123 A 5 cm 3 Add the area of piece A and the area of piece B together. What does this prove about the side lengths in a right triangle? 12 cm 52 B DRAG THESE Mong the Middle LLC, 2019

Answer 1

The area of a square is the squared side, it means

`A=l^2`

It means, for A, which has a side of 5, the area is

`5^2`

For B, which side is 12, its area is

`12^2`

For C, the area is

`13^2`

Andre has to paint (solve each power):

`\begin{gathered} A=25 \\ B=144 \\ C=169 \end{gathered}`

Once we add the areas of A and B we realize that the sum is equal to the area of C, it proves the pythagorean theorem that says that the sum of the squared length of the legs equals the squared length of the hypotenuse