One side of the triangle is h cos(60°) = h/2
Another side is h sin(60°) = h√3/2
Area is 1/2 h/2 h√3/2 = h²√3/8
You're expected to know the ratio of the sides of a 30-60-90 right triangle.Express the area of a 30-60-90 triangle
as a function of the length of the hypotenuse.
The answer is:Code:* /| / | / | /30°| 2a / | _ / | √3a / | / | / 60° | * - - - - * a
We have: .
Then the base is: .
. . . . and the height is: .
Therefore, the area is: .