Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 35 centimeters and b = 84 centimeters, what is c? if necessary, round to the nearest tenth.
c = centimeters

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $c^{2}=a^{2}+b^{2}$, where $a = 35$ and $b = 84$. So $c^{2}=35^{2}+84^{2}$.

Step2: Calculate $a^{2}$ and $b^{2}$

$35^{2}=35\times35 = 1225$ and $84^{2}=84\times84 = 7056$.

Step3: Find $c^{2}$

$c^{2}=1225 + 7056=8281$.

Step4: Solve for $c$

$c=\sqrt{8281}=91$.

Answer:

91