If I told you a triangle with sides 45 cm, 60 cm, and 75 cm was a right triangle, how would you verify my statement? Develop an argument to convince yourself and your partner that my statement is correct.

Answer 1

it's just a scaled-up 3-4-5 right triangle.

You can check to see whether 45^2 + 60^2 = 75^2

it does

Answer 2

45^2 + 60^2 = 75^2 ??

2025 + 3600 = 5625

5625 = 5625

Yes! The Pythagorean Theorem proves it's a right triangle.

Answer 3

I know that a 3, 4 , 5 triangle is a right triangle
but I can prove it easily anyway because
9 + 16 = 25 or in other words a^2+b^2=c^2

now multiply each side by 15 and get
45, 60 , 75 :)