SOLUTION: 1. From a point outside of an equilateral triangle, the distance to the vertices are 10m, 10m and 18 m. Find the dimension of Time triangle

Algebra ->  Triangles -> SOLUTION: 1. From a point outside of an equilateral triangle, the distance to the vertices are 10m, 10m and 18 m. Find the dimension of Time triangle      Log On


   

Question 1208457: 1. From a point outside of an equilateral triangle, the distance to the vertices are 10m, 10m and 18 m. Find the dimension of Time triangle
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Hint:

ABC is an equilateral triangle with side length 2x.
D is the point outside of the equilateral triangle such that DA = 10, DB = 10, and DC = 18.
E is the midpoint of segment AB.
AE = x and EB = x
The height of the equilateral triangle is EC = x*sqrt(3)
DE = DC-EC = 18-x*sqrt(3)
AED is a right triangle.