Question

What is the length of the hypotenuse in simplified radical form?(Information needed - long leg is 13, short leg is 5, it is a right triangle)

A. √194
B. 2√97
C. 12
D. 13.93

Answer 1

`\large \boxed{\text{A. $√(194)$}}`

Explanation:

We can use Pythagoras' Theorem.

`\begin{array}{rcl}a^(2) & = & b^(2) + c^(2)\\& = & 5^(2) + 13^(2)\\& = & 25 + 169\\& = & 194\\a & = & √(194)\\\end{array}\\\text{The length of the hypotenuse is $\large \boxed{\mathbf{√(194)}}$}`