Question

The hypotenuse of an isosceles right triangle is $14\sqrt 2$. How long is each leg of the triangle?

Answer 1

An isosceles triangle by definition, is a triangle that has two equal sides.
We have then that the hypotenuse is given by:
h = root (L ^ 2 + L ^ 2)
h = root (2L ^ 2)
Substituting we have:
14raiz (2) = root (2L ^ 2)
Clearing L we have:
14raiz (2) = Lraiz (2)
Simplifying:
L = 14
Answer:
Each side of the triangle is:
L = 14 units