Laura draws a right triangle she then creates three squares using each side of the triangle shown

pic - triangle in the middle with three square on the edges of the triangle

which of the methods could Laura prove the Pythagorean theorem

1 - to prove that the perimeter of the two smaller squares combined the perimeter of the triangle is equal to the perimeter of the large triangle

2 - to prove that the perimeter of the two smaller squares combined is equal to the perimeter of the large square

3 - to prove that the area of two smaller squares combined with the area of the triangle is equal to the area of the large squares

4 - to prove that the area of two smaller squares combined is equal to the large square

Question

Fletcher Gillespie

Mathematics

12 October, 20:46

Laura draws a right triangle she then creates three squares using each side of the triangle shown

pic - triangle in the middle with three square on the edges of the triangle

which of the methods could Laura prove the Pythagorean theorem

1 - to prove that the perimeter of the two smaller squares combined the perimeter of the triangle is equal to the perimeter of the large triangle

2 - to prove that the perimeter of the two smaller squares combined is equal to the perimeter of the large square

3 - to prove that the area of two smaller squares combined with the area of the triangle is equal to the area of the large squares

4 - to prove that the area of two smaller squares combined is equal to the large square

+3

Answers (1)

Know the Answer?

Karen Lucero · Answer 1

The correct way of proving Pythagoras Theorem here is:

4 - to prove that the area of two smaller squares combined is equal to the large square

This is because Pythagoras theorem states that the sum of the square of the two smaller sides is equivalent to the square of the third side. The squares of the sides are represented as the area of the squares because the area of a square is obtained by multiplying a length by itself, or squaring it.