# What is the altitude of an equilateral triangle?

## What is the altitude of an equilateral triangle?

Altitude of an 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.

## What is the altitude of an equilateral triangle whose sides are each 12 cm?

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

What is the height of a 12 cm equilateral triangle?

Let ABC be the equilateral triangle with AD as an altitude from A meeting BC at D. Then D will be the midpoint of BC. Applying Pythagoras theorem in right-angled triangle ABD we get:Hence the height of the given triangle is 6√3 cm. समबाहु त्रिभुज की ऊँचाई ज्ञात करें जिसकी प्रत्येक भुजा 12cm है ।

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 altitude formula?

Using the altitude of a triangle formula we can calculate the height of a triangle. The altitude of a Triangle Formula can be expressed as: Altitude=(2×Area)Base. where, The area is the area of a triangle and the base is the base of a triangle.

### What is the altitude of an equilateral triangle whose side is 14 cm?

7√3 cm
Detailed Solution. ∴ The height of the equilateral triangle is 7√3 cm.

What is the altitude of an 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 a formula of equilateral triangle?

An equilateral triangle is the one in which all three sides are equal. It is a special case of the isosceles triangle where the third side is also equal. In an equilateral triangle ABC, AB = BC = CA.

#### What is the area in cm² of a Trapezim whose parallel sides are 12 cm and 16 cm and whose height is equal to that of an equilateral triangle of side √ 3 cm?

Hence, the area of the given trapezium is 140 Square centimetres.

#### Are all altitudes of an equilateral triangle equal?

If all the three altitudes of a triangle are equal, the triangle is equilateral.

Is altitude always 90 degree?

Yes, because it is the highest angle.

How do you find the equation of an altitude?

Use y = ax + b and substitute, a, x, and y with step 2 and step 3 to find the y-intercept (b). (a is the slope from step 2, x, y are the point from step 3) 5. Now use the slope from step 2 and the y-intercept you found in step 4 to substitute in y = ax + b, by replacing the a (slope) and the b (y-intercept.

## How do u find the altitude of a triangle?

Altitude of a Triangle Formula. The basic formula to find the area of a triangle is: Area = 1/2 × base × height, where the height represents the altitude. Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

What is the length of an altitude of an equilateral triangle of side 8 cm * 1 point a 2 √ 3cm B 4 √ 3cm c 3 √ 3cm D 5 √ 3cm?

Expert-verified answer then, → AD = BD = 8/2 = 4 cm . → AD = 4√3 cm (C) (Ans.) → Length of Altitude = 4√3 cm (Ans.)

What is the area in cm² of a Trapezim whose parallel sides are 12 cm and to that of an equilateral triangle of side √ 3 cm?

Therefore, Area of trapezium is 21 .

### What is the area of a triangle whose base is 18.2 cm and height is 9 cm?

68.25 sq cm
Base of the triangle is 18.2 cm. ∴ The area of the triangle is 68.25 sq cm.

### What is the altitude of a 90 degree triangle?

Yes, the altitude of a triangle is a perpendicular line segment drawn from a vertex of a triangle to the base or the side opposite to the vertex. Since it is perpendicular to the base of the triangle, it always makes a 90° with the base of the triangle.

How do you calculate the altitude of a triangle?

A right triangle is a triangle with one angle equal to 90°. Two heights are easy to find, as the legs are perpendicular: if the shorter leg is a base, then the longer leg is the altitude (and the other way round). The third altitude of a triangle may be calculated from the formula: hᶜ = area * 2 / c = a * b / c.

Is altitude same as length?

This line containing the opposite side is called the extended base of the altitude. The intersection of the extended base and the altitude is called the foot of the altitude. The length of the altitude, often simply called “the altitude”, is the distance between the extended base and the vertex.

#### What is the length of an altitude of an equilateral triangle of side is 8?

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