The perpendicular bisector of any side of an equilateral triangle is also the altitude of the triangle. In an equilateral triangle, the altitude divides the triangle into two congruent 30-60-90 right triangles.
In a 30-60-90 right triangle, the ratio of the sides is 1 : √3 : 2.
To find the length of the perpendicular bisector (altitude) of an equilateral triangle with sides that are 36 inches long, we can use the ratio 1 : √3 : 2.
Since the side length of the equilateral triangle is 36 inches, the length of the altitude (perpendicular bisector) is: 36/2 = 18 inches.
Therefore, the length of the perpendicular bisector of any side of the equilateral triangle is 18 inches.
Use what you know about the relationships in 30-60-90 right triangles to solve the following problem. A stained-glass window is in the shape of an equilateral triangle with sides that are 36 inches long. How long is the perpendicular bisector of any side?(1 point) Responses 9 inches 9 inches 183–√ inches 18 Start Root 3 End Root inches 36 inches 36 inches 18 inches
1 answer