Question
Find the hypotenuse $ c $ of a right triangle if leg $a = 4\, \text{cm}$ and leg $b = 6\, \text{cm}$.
Answer
$2 \sqrt{ 13 }\, \text{cm}$
Explanation
To find side $ c $ use Pythagorean Theorem:
$$ a^2 + b^2 = c^2 $$After substituting $a = 4\, \text{cm}$ and $b = 6\, \text{cm}$ we have:
$$ \left( 4\, \text{cm} \right)^{2} + \left( 6\, \text{cm} \right)^{2} = c^2 $$ $$ 16\, \text{cm}^2 + 36\, \text{cm}^2 = c^2 $$ $$ c^2 = 52\, \text{cm}^2 $$ $$ c = \sqrt{ 52\, \text{cm}^2 } $$$$ c = 2 \sqrt{ 13 }\, \text{cm} $$This page was created using
Right Triangle Calculator