A triangle has side lengths of 23.8cm, 31.2 cm and 39.6cm.

Is this a right angle triangle? Show how you decide.

I can only think of drawing triangles to scale, but is there a maths formula I donâ€™t known about to use?

Thanks

Walthamx
Apr 22, 2018

#1**0 **

Use Pythagoras' Theorem to confirm one way or the other:

Take the largest side and square it: 39.6^2 =1,568.16 cm^2

Then take the other two sides, square them and add them up =23.8^2 + 31.2^2 =1,539.88

If it were a right triangle, then 39.6^2 =23.8^2 + 31.2^2. But, as you can see from above calculations, the don't equal each other, so it CANNOT be a right triangle.

Guest Apr 22, 2018

edited by
Guest
Apr 22, 2018