What is the area of the triangle to the nearest tenth of a square centimeter? Use special triangles to help find the exact height. State both the exact height and the area to the nearest tenth. Show all your work.

Image description: A right triangle with a 26 ft. hypotenuse and a 60 degree angle oposite the 90 degree.

Guest Apr 10, 2019

#1**+1 **

Not too much to sweat, here

We have a 30-60-90 right triangle

The side opposite the 30 degree angle = (1/2) the hypotenuse = 13 = this is one leg

The side opposite the 60 degree angle = 13√3 = this is the other leg

Area = product of the legs / 2 = (13) (13)√3 / 2 = 169√3 / 2 ≈ 146.4 cm^2

BTW....the "height" is optional....it's either one leg length or the other.....depending upon your favorite orientation !!!!

CPhill Apr 10, 2019