The architect uses a 30-60-90 right triangle to estimate the total length of the walkway. She measures the shortest side of the triangle as 15 meters.
What are the lengths of the other two sides?
Side h is 30
Side b is 25.98
To find the lengths of the other two sides of the 30-60-90 right triangle, you can use the ratios that are specific to this type of triangle. In a 30-60-90 triangle, the ratio of the sides is as follows:
Shortest side : Mid-length side : Longest side
1 : √3 : 2
Since the shortest side is given as 15 meters, we can multiply this length by the ratios to find the lengths of the other two sides.
Mid-length side = 15 * √3
Longest side = 15 * 2
Therefore, the lengths of the other two sides are:
Mid-length side = 15√3 meters
Longest side = 30 meters