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

  • Perimeter of an equilateral triangle,P = 3a
  • Semi perimeter of an equilateral triangle = 3a/2
  • Height of an equilateral triangle,h = (√3/2)a
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