Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 2 feet and b = 8 feet, what is c? if necessary, round to the nearest tenth. c = feet

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $c^{2}=a^{2}+b^{2}$. Given $a = 2$ and $b = 8$, we substitute these values into the formula: $c^{2}=2^{2}+8^{2}$.

Step2: Calculate the squares

$2^{2}=4$ and $8^{2}=64$. So $c^{2}=4 + 64=68$.

Step3: Find the value of c

$c=\sqrt{68}\approx 8.2$.

Answer:

$8.2$