Question

What is the length of missing side b in the figure below?

Answer 1

We need to use the Pythagorean Theorem.

It states that a^2 + b^2= c^2, where a and b are the legs of the right angle triangle and c is the hypotenuse.

13 is the hypotenuse, 7 and b are the legs.


`7^2 + b^2 = 13^2\\\\49 + b^2 = 169\\\\b^2 = 169 - 49\\\\b^2 = 120\\\\b=√(120) = √(4 \cdot 30) = \boxed{\bf{2√(30)}}`

The value of b is 2√(30).