Question

the measure of C if a=6 and b=9.


$3 \sqrt{5}$
$9 \sqrt{5}$
$3 \sqrt{13}$
$5 \sqrt{3}$
​

Answer 1

Answer:

$c=3\sqrt{13}$

Step-by-step explanation:

Pythagorean Theorem: In the right triangle the square of longer side is equal to the sum of the squares of other sides.

$c^2=a^2+b^2\\\\c^2=6^2+9^2\\\\c^2=36+81\\\\c^2=117\\\\c^2=3\times 3\times 13\\\\c=\sqrt{3\times 3\times 13}\\\\c=3\sqrt{13}$