given the triangle below, what is the length of the hypotenuse? 4 cm 5 cm a 9 cm b 3 cm c $sqrt{41}$ cm d 41…
given the triangle below, what is the length of the hypotenuse? 4 cm 5 cm a 9 cm b 3 cm c $sqrt{41}$ cm d 41 cm
Answer
Answer:
C. $\sqrt{41}$ cm
Explanation:
Step1: Recall Pythagorean theorem
$a^{2}+b^{2}=c^{2}$, where $c$ is hypotenuse, $a = 4$ cm and $b = 5$ cm.
Step2: Substitute values
$4^{2}+5^{2}=c^{2}$, so $16 + 25=c^{2}$, then $c^{2}=41$.
Step3: Solve for $c$
$c=\sqrt{41}$ cm.