given the triangle below, what is the length of the hypotenuse? 2 cm 4 cm a 20 cm b 12 cm c $sqrt{12}$ cm d…
given the triangle below, what is the length of the hypotenuse? 2 cm 4 cm a 20 cm b 12 cm c $sqrt{12}$ cm d $sqrt{20}$ cm
Answer
Answer:
D. $\sqrt{20}\text{ cm}$
Explanation:
Step1: Recall Pythagorean theorem
$a^{2}+b^{2}=c^{2}$, where $a = 2\text{ cm}$, $b = 4\text{ cm}$, and $c$ is the hypotenuse.
Step2: Substitute values
$2^{2}+4^{2}=c^{2}$.
Step3: Calculate squares
$4 + 16=c^{2}$, so $c^{2}=20$.
Step4: Solve for $c$
$c=\sqrt{20}\text{ cm}$.