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 don’t known about to use?
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.