Answer :
The length of the altitude of the equilateral triangle is a√3/4 units.
What is a triangle?
- A triangle is a two - dimensional figure with three sides and three angles.
- The sum of the angles of the triangle is equal to 180 degrees.
- ∠A + ∠B + ∠C = 180°
Given is to find the length of the altitude of the equilateral triangle.
An equilateral triangle is a triangle whose all sides are equal. All the angles of a given equilateral triangle are 60 degrees.
The length of the altitude of the equilateral triangle can be found out using the Pythagoras theorem.
Draw a median from one vertex on the opposite side to that vertex and apply Pythagoras theorem to one of the right triangle.
We can find the length of the altitude to be -
L = a√3/4
Therefore, the length of the altitude of the equilateral triangle is a√3/4 units.
To solve more questions on triangles, visit the link-
https://brainly.com/question/2773823
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