Question

given the triangle below, what is the length of the hypotenuse?
3 cm
5 cm
a 15 cm
b $sqrt{34}$ cm
c $sqrt{15}$ cm
d 8 cm

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $c^2 = a^2 + b^2$, where $c$ = hypotenuse, $a,b$ = legs.

Step2: Substitute given values

$a=5$, $b=3$, so $c^2 = 5^2 + 3^2$

Step3: Calculate the sum

$c^2 = 25 + 9 = 34$

Step4: Solve for hypotenuse

$c = \sqrt{34}$

Answer:

B. $\sqrt{34}$ cm