Question

Julio says that 6, 7, and 12 will make a right triangle but Matt says they will definitely not. Prove who is correct and show an example.

Answer 1

Explanation:

Julio says that 6, 7, and 12 will make a right triangle but Matt says they will definitely not. Prove who is correct and show an example.

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2​. While if a, b, and c are the sides of the triangle, then ​c2 = a2 + b2.

so if c² = a² + b²

12² = 6² + 7²

144 = 36 + 49

144 = 85

it is not a right triangle, so Matt is right