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

☛ Related Articles:

• Altitude of a Triangle
• Triangles

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