How do I calculate the height of a right angle triangle when given the base and longer side?

Question

A right angle triangle with diagonal side length 10 units and base of 6 units is how high on its third side?

Answer 1

Loger side of right angle triangle is hypotenuse.

If given base and longer side of right angle traingle then we find it's height using pythagoreans theorem.

100 = 36+BC^2

100-36 = BC^2

64 = BC^2

BC = 8

Third side = 8units