Question

The hypotenuse of a right triangle is 10 cm long. One of the triangles legs is three times the length of the other leg. Find the lengths of the three sides of the triangle.

Answer 1

One leg is √10cm, the other 3√10cm and hypotenuse is 10cm.

Explanation:

Trigonometry gives us the formula h²=a²+b², were a and b are the triangle's legs. We are told that one leg is three times 3x the other leg x.

h²=(3x)²+x²

100=9x²+x²

100=10x²

100/10=x²

x²=10

x=√10

So b=√10 and a=3√10.