## What is the area of an equilateral triangle with side 1?

This is all we need to know, since the area of a triangle is A=12bh . We know the base is 1 and the height is √32 , so the area of the triangle is √34 .

## What is the length of one side of the equilateral triangle?

Hence the length of side of an equilateral triangle is one- third of the perimeter of the triangle. Example: If the perimeter of an equilateral triangle is given to be 105 sq.

**What is the area of an equilateral triangle with side 4 cm?**

Area of equilateral △=4 a2=4 ×4×4=43 cm2.

**What is the area of an equilateral triangle with side 2cm?**

Solution: The required area is √3 . We are given that the side is 2 cm.

### Which is the longest side of an equilateral triangle * 1 point?

The smallest side in the given figure is the base, the second longest side is the height, and the longest side is the side of the triangle itself.

### What is the length of each side of an equilateral triangle having an area of 4 root 3 cm square?

Hence, the length of each side of the triangle is 4 cm.

**What is the area of equilateral triangle whose side is 5 cm?**

The area of triangle is given by =43 a2=43 ×52=425 cm2.

**What is the area of an equilateral triangle with side √ 3 4 * 1 point?**

given that, side of an equilateral triangle is equal to (√3/4) . → Area of ∆ = (3√3/64) cm² (Ans.)

## What is the height of an equilateral triangle with sides of 2?

We will use the formula for the height of equilateral triangle, h = (a√3)/2. Substituting the value of ‘a’, we get, h = (3√3)/2 = 2.6 units. Therefore, the height of the equilateral triangle is 2.6 units. Example 2: Find the height of an equilateral triangle if its perimeter is 24 units.

## What is the side of equilateral?

All three sides are equal. All three angles are congruent and are equal to 60 degrees. It is a regular polygon with three sides. The perpendicular drawn from vertex of the equilateral triangle to the opposite side bisects it into equal halves.

**What is the length of each side of an equilateral triangle having an area of 9 root 3 cm square?**

Hence, the side of the triangle is 6cm.

**What is the length of each side of an equilateral triangle having an area of 4 √ 3?**

Hence, the length of each side of an equilateral triangle is 4 cm. Option (A) 4 cm is correct.

### What is formula of height of equilateral triangle?

and the equation for the height of equilateral triangle look as follows: h = a * √3 / 2 , where a is a side of the triangle.

### Why is the area of a triangle 1 2bh?

A diagonal of a rectangle separates the rectangle into two congruent triangles. The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

**Is the length of each side of the equilateral triangle is 1 then the perimeter of the equilateral triangle is?**

→ Perimeter of equilateral triangle = sum of all three sides. = 3 cm. ∴ Perimeter of the given equilateral triangle is 3 cm.

**Is a triangle 3 equal sides?**

An equilateral triangle has three equal sides and angles. It will always have angles of 60° in each corner.

## What is the length of each side of an equilateral triangle having an area of 4 root 3cm²?

## How do you calculate the height of an equilateral triangle?

– The basic formula for triangle area is side a (base) times the height h, divided by 2: area = (a * h) / 2 – Height of the equilateral triangle is splitting the equilateral triangle into two right triangles. – Substituting h into the first area formula, we obtain the equation for the equilateral triangle area: area = a² * √3 / 4

**How do you find the area of an equilateral triangle?**

h = a * √3 / 2. Substituting h into the first area formula, we obtain the equation for the equilateral triangle area: area = a² * √3 / 4. 2. Using trigonometry. Let’s start from the trigonometric triangle area formula: area = (1/2) * a * b * sin (γ) , where γ is the angle between sides.

**How to solve equilateral triangle problems?**

a sin (A) = b sin (B) = c sin (C) When there is an angle opposite a side, this equation comes to the rescue. Note: angle A is opposite side a, B is opposite b, and C is opposite c. 3. Law of Cosines (the Cosine Rule): c 2 = a 2 + b 2 − 2ab cos (C) This is the hardest to use (and remember) but it is sometimes needed.

### What is the formula for an equilateral triangle?

Area of an equilateral triangle,A = (√3/4)a 2