SOLUTION: an equilateral triangle has an altitude that measures 26 meters. Find the area of the triangle to the nearest square meter
Algebra.Com
Question 598445: an equilateral triangle has an altitude that measures 26 meters. Find the area of the triangle to the nearest square meter
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
The altitude bisects the base forming two 30-60-90 triangles. This type triangle has a ratio of 1 for the base and sqrt(3) for the altitude.
x/1=26/sqrt(3)
x=15 approximately
15*2=30 base of the equilateral triangle.
.5*26*30=390 m^2
.
Ed
RELATED QUESTIONS
The area of an equilateral triangle is 16 (square root) 3 square units. Find the... (answered by stanbon)
What is the area of an equilateral triangle that has an altitude of... (answered by nerdybill)
the altitude of an equilateral triangle is 4.2 meters long find the perimeter of the... (answered by TimothyLamb)
an equilateral triangle has an altitude of 21 inches.what is the side length of the... (answered by nyc_function)
Find the altitude of an equilateral triangle, if each side of the triangle has a length... (answered by palanisamy)
Find the altitude of an equilateral triangle, if each side of the triangle has a length... (answered by stanbon)
using the pythagorean theorem find the area of an equilateral triangle whose side... (answered by josgarithmetic)
what is the altitude of a triangle that has an area of 88 square meters and base of 11... (answered by Diana541)
An equilateral triangle has a perimeter of 24 m and an area of 16 square root 3m^2. Find... (answered by nerdybill)