how do i measure the sides of a scalene triangle, i know the length of two of the sides.

Question

I have a scalene triangle, I know the length of two of the sides, one 60cm, the other 80 cm, joining at the right angle, the longest side I need to work out.

Answer 1

In a right-angled triangle the longest side is called the hypotenuse and by Pythagoras' Theorem, its length is the square root of the sum of the squares of the other two sides. So the hypotenuse=sqrt(60^2+80^2)=sqrt(3600+6400)=sqrt(10000)=100cm.