Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 5 millimeters and b = 3 millimeters, what is c? if necessary, round to the nearest tenth. c = millimeters

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $c^{2}=a^{2}+b^{2}$. Given $a = 5$ and $b = 3$, we substitute these values: $c^{2}=5^{2}+3^{2}$.

Step2: Calculate squares

$5^{2}=25$ and $3^{2}=9$, so $c^{2}=25 + 9=34$.

Step3: Solve for c

$c=\sqrt{34}\approx5.8$ (rounded to the nearest tenth).

Answer:

$5.8$