# Triangle Height Calculator

Triangle Height Calculator is an online tool that helps to calculate the height of a triangle. Triangle height is also known as the Altitude of a triangle. A triangle can have three altitudes.The altitudes can be inside or outside the triangle, depending on the type of triangle.

## What is Triangle Height Calculator?

Triangle Height Calculator is an online tool that helps to calculate the height of a triangle. The basic formula to find the area of a triangle is: Area = 1/2 × base × height, where the height represents the altitude. **Online Triangle Height Calculator** helps you to calculate the height of a triangle in a few seconds.

### Triangle Height Calculator

## How to Use Triangle Height Calculator?

Please follow the below steps to calculate triangle height:

**Step 1:**Enter the area of triangle value in the given input box.**Step 2:**Enter the base side of the triangle in the given input box.**Step 3:**Click on the**"Calculate"**button to calculate triangle height.**Step 4:**Click on the**"Reset"**button to find different base sides and different areas.

## How to Find the triangle Height Calculator?

Altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.

- The altitude makes an angle of 90° to the side opposite to it.
- The point of intersection of the three altitudes of a triangle is called the orthocenter of the triangle.

If H is the height of the triangle from vertex to perpendicular side a (base side), then the height of the triangle is given by

**Height of the triangle, H _{a} = Area × (2/a)**

**Solved Examples on Triangle Height Calculator**

**Example 1:**

Find the height of the triangle from vertex to perpendicular side a if length of sides a = 2, b = 3,c = 4?

**Solution:**

To find the height corresponding to base a we can write height as H_{a}

H_{a} = (2 × area)/a

= (2 × (1/2 × b × c)) / a

= (b × c) / a

= (3 × 4) / 2

= 12/2

= 6 units.

**Example 2:**

Find the height of the triangle from vertex to perpendicular side a if length of sides a = 6, b = 7,c = 8?

**Solution:**

To find the height corresponding to base a we can write height as H_{a}

H_{a} = (2 × area)/a

= (2 × (1/2 × b × c)) / a

= (b × c) / a

= (7 × 8) / 2

= 56/2

= 28 units.

**Example 3:**

Find the height of the triangle from vertex to perpendicular side a if length of sides a = 9, b = 11,c = 12?

**Solution:**

To find the height corresponding to base a we can write height as H_{a}

H_{a} = (2 × area)/a

= (2 × (1/2 × b × c)) / a

= (b × c) / a

= (11 × 12) / 2

= 132/2

= 66 units.

Similarly, you can try the calculator to find the height of the triangle

1) Find the height of the triangle if the length of sides a = 7, b = 8, c = 9

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