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 = 1 millimeter, what is c? if necessary, round to the nearest tenth. c = millimeters

Explanation:

Step1: Apply Pythagorean theorem

By the Pythagorean theorem $c^{2}=a^{2}+b^{2}$, where $a = 5$ and $b = 1$. So $c^{2}=5^{2}+1^{2}$.

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

$5^{2}+1^{2}=25 + 1=26$. So $c^{2}=26$.

Step3: Solve for $c$

$c=\sqrt{26}\approx5.1$ (rounded to the nearest tenth).

Answer:

$5.1$