Question

what are the lengths of the other two sides of the triangle? ac = 5 and bc = 5√3, ac = 5√3 and bc = 5, ac = 5 and bc = 5√5, ac = 5 and bc = 5

Explanation:

Step1: Recall 30 - 60 - 90 triangle ratio

In a 30 - 60 - 90 triangle, if the hypotenuse $AB = 10$, the side opposite the 30° angle ($AC$) is half of the hypotenuse. So $AC=\frac{AB}{2}=5$.

Step2: Find side $BC$

Using the Pythagorean theorem or the ratio, $BC = AC\sqrt{3}=5\sqrt{3}$.

Answer:

AC = 5 and BC = 5$\sqrt{3}$