Question
Find the hypotenuse $ c $ of a right triangle if leg $a = 10\, \text{cm}$ and leg $b = 10\, \text{cm}$.
Answer
$10 \sqrt{ 2 }\, \text{cm}$
Explanation
To find side $ c $ use Pythagorean Theorem:
$$ a^2 + b^2 = c^2 $$After substituting $a = 10\, \text{cm}$ and $b = 10\, \text{cm}$ we have:
$$ \left( 10\, \text{cm} \right)^{2} + \left( 10\, \text{cm} \right)^{2} = c^2 $$ $$ 100\, \text{cm}^2 + 100\, \text{cm}^2 = c^2 $$ $$ c^2 = 200\, \text{cm}^2 $$ $$ c = \sqrt{ 200\, \text{cm}^2 } $$$$ c = 10 \sqrt{ 2 }\, \text{cm} $$This page was created using
Right Triangle Calculator