How long is the altitude of an equilateral triangle whose sides are 12cm each?

How long is the altitude of an equilateral triangle whose sides are 12cm each?

Hence, the height of the given triangle is 6√3 cm.

What is the altitude of a equilateral triangle?

The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side. It is interesting to note that the altitude of an equilateral triangle bisects its base and the opposite angle.

Is the altitude of a equilateral triangle is 12 root 3 cm find its perimeter and area?

Correct Option: B ⇒ x = 12 cm. ∴ AB = 2x = 2 × 12 = 24 cm. = 144√3 sq. cm.

What is the length of the altitude of an equilateral?

Therefore for an equilateral triangle having each side equal to a, we get a length of an altitude as $\dfrac{\sqrt{3}a}{2}$ thus option b) is the correct answer.

What is the altitude of equilateral triangle of side 8 cm?

4√3 cm
Summary: The altitude of an equilateral triangle of side 8 cm is 4√3 cm.

What is the area of an equilateral triangle with height 6 cm?

So, the correct answer is “20.76 sq. cm”.

What is the length of an altitude of an equilateral triangle of 8cm?

What is the length of an altitude of an equilateral triangle of side 8cm 3 cm B 3 sqrt 3 cm C 4 sqrt 3 cm D 5 sqrt 3 cm?

⇒ AD = √48 = 4√3 cm. Hence, altitude of an equilateral triangle is 4√3 cm.

What is the altitude of an equilateral triangle of side 8 cm?

What is the altitude of an equilateral triangle of side 9 cm?

R D Sharma – Mathematics 9 9sq. =xsq +4.5sq because in equilateral triangle median and altitude are same. 60.75=xsq /by long division method x=7.70…

What is altitude of a triangle class 7?

The altitude is the perpendicular drawn from the vertex to its opposite side and make a right angle with the base. The altitude may lie inside or outside the triangle.

What is the equation for the height of equilateral triangle?

area = (a² * √3)/ 4. and the equation for the height of equilateral triangle look as follows: h = a * √3 / 2, where a is a side of the triangle.

How to find the perimeter of an equilateral triangle?

You can easily find the perimeter of an equilateral triangle by adding all triangles sides together. The regular triangle has all sides equal, so the formula for the perimeter is: How to find the radius of the circle circumscribing the three vertices and the inscribed circle radius?

How do you find the area of an equilateral triangle?

Using Pythagorean theorem The basic formula for triangle area is side a (base) times the height h, divided by 2: Height of the equilateral triangle is splitting the equilateral triangle into two right triangles. One leg of that right triangle is equal to height, other leg is half of the side, and the hypotenuse is the equilateral triangle side.

What are the properties of an equilateral triangle?

The equilateral triangle, also called a regular triangle, is a triangle with all three sides equal. What are the other important properties of that specific regular shape? the altitudes, the angle bisectors, the perpendicular bisectors and the medians coincide.