Question

1. find the length of the hypotenuse c. approximate the length by rounding to the nearest tenth.

Explanation:

Step1: Apply Pythagorean theorem

$c^{2}=a^{2}+b^{2}$, where $a = 5$ and $b = 4$. So $c^{2}=5^{2}+4^{2}$.

Step2: Calculate the squares

$5^{2}=25$ and $4^{2}=16$, then $c^{2}=25 + 16=41$.

Step3: Find the value of c

$c=\sqrt{41}\approx6.4$

Answer:

$6.4$