Question

If a = 14 and b = 48, and a, b and c form a Pythagorean triple, what is the value of c?

A) 47
B) 48
C) 49
D) 50
E) 51

Answer 1

D

Explanation:

The Pythagorean theorem states that
`a^2+b^2=c^2`, since we know the values of a and b, we can solve for c by square rooting both sides of the equation.

`√(a^2+b^2)=\sqrt{c^2`

`c=\sqrt{a^2+b^2`

`c = √(14^2+48^2)`

`c=50`