Base of a Triangle Calculator

Created by Komal Rafay
Reviewed by Anna Szczepanek, PhD
Last updated: Oct 30, 2022

The base of a triangle calculator is your dream tool if you are a maths and geometry enthusiast. Even if you are not, you will still find the tool useful.

The most important topics that we will be covering are:

  • Formula for the base of a triangle; and
  • How to calculate the base of a triangle.

The base of a triangle calculator

The base of the triangle calculator is a tool that will conveniently and efficiently determine the base of any triangle using its area. But don't worry, that's not all you can use the tool for. If you have the base and height of the triangle already, you can still determine, if needed, the area of the triangle. That is what we mean when we say convenient.

To use our tool:

  • Input the area of the triangle, you can choose the unit of your choice;
  • Input the height of the triangle; and
  • The result is the base of the triangle.

💡 You have the freedom of calculating any of the three variables of a triangle, as long you have the value for any two.

The formula for base of a triangle

The formula to determine the base of a triangle is derived from the formula for the area of a triangle. The area formula uses the base and height of the triangle and looks like this:

A=bh2A = \frac {b \cdot h} {2}

Now, if you shuffle the formula for the base, it becomes:

b=2Ahb = \frac {2 \cdot A } {h}

where:

  • AA - Area of triangle;
  • hh - Height of triangle; and
  • bb - Base of triangle.

How to calculate the base of a triangle?

Now that we understand the formula of the base of a triangle, we can quickly determine it by following a few simple steps.

  1. Note the area of the triangle and multiply it by 2;
  2. Note the height of the triangle;
  3. Divide the result from step 1 by the height;
  4. The result is the base of the triangle.

Suppose you want to make a triangular shelf. You want it to cover a 60 cm² area on the wall and want it to be 15 cm high. Let's determine the base for your shelf.

The area is 60 cm². Multiplying it by 2 gives us 120.

60×2=12060 × 2 = 120

Then we divide 120 by the height of the triangle.

b=12015\text b = \frac {120}{15}

The result is the base of your triangular shelf.

b=8 cm\text b =8 \text{ cm}

Triangular awesomeness at Omni

FAQ

What is the base of a triangle?

The side that is perpendicular to the height of a triangle is its base.

You may take any of the three sides as base as long as you remember to take the height as the perpendicular to that side.

How can I calculate the base of a triangle?

The formula to calculate the base of a triangle is:

b = 2A / h

where:

  • b - The base of the triangle;
  • A - The area of the triangle; and
  • h - The height of the triangle.

So, all you have to do is:

  1. Multiply the area by 2;
  2. Divide the answer from step 1 by the height of the triangle; and
  3. The result is the base of your triangle.

What is the base of a triangle if the area is 10 cm²?

The base of a triangle having a 10 cm² area is 5 cm, assuming its height is 4 cm.

The formula with which you can easily determine the base of a triangle is:

b = 2A / h

where:

  • b - The base of the triangle;
  • A - The area of the triangle; and
  • h - The height of the triangle.
Komal Rafay
Triangle area: triangle with base and height





Area
cm²
Height (h)
cm
Base (b)
cm
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