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

Answer:

$\large \boxed{\text{A. \sqrt{194} }}$

Step-by-step explanation:

We can use Pythagoras' Theorem.

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