What is the area of an equilateral triangle with side √ 3 4 cm2?
Solution: Using the area of equilateral triangle formula: (√3/4) × a2 square units, we will substitute the values of the side length. Therefore, the area of the equilateral triangle (√3/4) × 42 = 4√3 square units.
What is an equilateral triangle example?
In geometry, an equilateral triangle is a triangle whose all three sides are of equal length. We can find the shape of a triangle in a rack in billiards, a road side sign board and a slice of pizza, around us. Fun Facts. All angles of an equilateral triangle measure 60 degrees (60°).
How do you find area of equilateral?
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.
What is the side of equilateral triangle?
Therefore, an equilateral triangle is simply a triangle whose three sides are all equal. It is obvious that along with this triangle’s sides, all three angles are also equal. As we know that the sum of a triangle’s angles is always 180 degrees. Thus each angle in an equilateral triangle will be 60 degrees.
How do you tell if a triangle is an equilateral?
Equilateral Triangle: A triangle is said to be equilateral triangle if all the sides are equal. If X, Y, Z are three sides of the triangle. Then, the triangle is equilateral only if X = Y = Z.
How do you find the angle of an equilateral triangle?
If you know 2 angles of a triangle, you can always subtract their sum from 180 to find the third angle. Every angle of an equilateral triangle is always 60 degrees. For isosceles triangles, it is important to remember that the two equal sides will face the two equal angles (so if angle A = angle B, side A = side B).
What is the formula for finding the area of a triangle?
Areas of Triangles. The most common formula for finding the area of a triangle is K = ½ bh, where K is the area of the triangle, b is the base of the triangle, and h is the height.
How do you calculate the height of an equilateral triangle?
The formula for Area of an Equilateral Triangle. 1/2 base * height or 1/2 b * h. Find the area of a equilateral triangle with a side of 8 units. Step 1. Use the height formula: (side/2 * √3) to calculate the height.
How many acute angles are in an equilateral triangle?
An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below, a, b and c are all acute angles. An equilateral triangle is always an acute triangle since all its angles are 60° which are acute angles.