Question

50 m
a
14 m
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = \boxed{} meters

Explanation:

Step1: Apply Pythagorean theorem

Let hypotenuse $c=50$, one leg $b=14$, missing leg $a$. Formula: $a^2 + b^2 = c^2$ → $a^2 = c^2 - b^2$

Step2: Calculate $a^2$

$a^2 = 50^2 - 14^2 = 2500 - 196 = 2304$

Step3: Find $a$

$a = \sqrt{2304} = 48$

Answer:

48