the length of the hypotenuse of a 30° -60° -90° triangle is 7 find the perimeter

1 answer

To find the perimeter of the triangle, we need to first find the lengths of the other two sides.

In a 30°-60°-90° triangle, the sides are in a ratio of 1:√3:2.

So, if the hypotenuse is 7, then the short leg is 7/2 = 3.5 and the longer leg is 3.5√3.

The perimeter of the triangle is the sum of all three sides:
Perimeter = 3.5 + 3.5√3 + 7

Perimeter = 10.5 + 3.5√3

So, the perimeter of the triangle is 10.5 + 3.5√3.