Question

check for understanding: 30 - 60 - 90
due on 09.06.2025 not graded
directions
answer the question below to check your understanding and move forward in the course! this quiz is not graded
choose the length of the smallest side.
select the correct answer
88
22√3
22√2
22

Explanation:

Step1: Recall 30 - 60 - 90 triangle ratio

In a 30 - 60 - 90 triangle, if the hypotenuse is $c$, the side opposite the 30 - degree angle (the smallest side) is $a$, and the side opposite the 60 - degree angle is $b$, the ratio of the sides is $a:b:c = 1:\sqrt{3}:2$.

Step2: Identify hypotenuse length

Assume the hypotenuse of the given 30 - 60 - 90 triangle is 44.

Step3: Calculate the length of the smallest side

Let the length of the smallest side be $x$. Since the ratio of the smallest side to the hypotenuse is $1:2$, we have $\frac{x}{44}=\frac{1}{2}$, so $x = 22$.

Answer:

22