Finding the area of triangle is one of the most basic topics in mathematics. It should be understood clearly as it is used a lot in further studies. In this article, we will answer the question 'how to find the area of a triangle'.

The area of triangle is the area that is enclosed by all three sides of the triangle. If we know the base and height of the triangle, it becomes quite easy. Here’s a triangle whose base is b and height is h. We have to find the area of this triangle. Area of triangle can be computed by the simple formula given below :

The Normal Way

Most eighth-graders will be able to tell you that the area of a triangle is 1/2 x b x h. So, for example, if b is 8 cm and h is 6 cm, then the area of the triangle will be 1/2 x 8 x 6 = 24 cm^2.

Teachers do teach kids this formula and how to apply it, but they don’t teach kids why this formula works?

Was it pulled out of a hat? Did someone just dream it up? Of course not, but kids are never given the full story! And unfortunately, they don’t even ask for it – asking is something which is not encouraged!

The Cuemath Way

Cuemath takes a very different approach, believing in the principle that kids need to know the 'why behind the what'. Let's take the same triangle as above.

Now, we do a simple but very interesting thing – we complete the rectangle formed using the triangle’s base and height.

It’s easy to see that the left part of the triangle has an area half that of the left part of the rectangle, while the right part of the triangle has an area half that of the right part of the rectangle.

Thus, the total area of the triangle is half the total area of the rectangle. But – what’s the total area of the rectangle? b x h of course – that’s something we learn very early on. The triangle’s area is, therefore, 1/2 x b x h.

Summary

In this article, we discussed the simple way of finding the area of triangle when base and height are known. We also learned the reasoning behind the formula 1/2 x b x h.

If you are interested in exploring more and want to know how to find the area of a triangle when all the sides are given or when two sides and enclosing angles are given, you can check out this article which contains a detailed explanation with examples about various ways of finding the area of triangle.

About Cuemath

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Frequently Asked Questions (FAQs)

How to find the area of triangle?

Area of triangle can be found easily by applying the formula 1/2 x b x h where b is the base and h is the height of the triangle.

What is the formula for the area of triangle?

If the base b and height h of the triangle are known, the formula for finding area of triangle is 1/2 x b x h. If you want to know about the other formulas for finding area of triangle, click here.

External References

To know more about how to find the area of the triangle, Visit these blogs: