Question

consider triangle qrs. the legs each have a length of 10 units. what is the length of the hypotenuse of the triangle? 5 units 5√2 units 10 units 10√2 units

Explanation:

Step1: Apply Pythagorean theorem

$a = 10$, $b = 10$, $c=\sqrt{a^{2}+b^{2}}$

Step2: Calculate hypotenuse length

$c=\sqrt{10^{2}+10^{2}}=\sqrt{100 + 100}=\sqrt{200}=10\sqrt{2}$

Answer:

$10\sqrt{2}$ units