# How do you calculate the area of a triangle without a right angle?

Assume, three sides are given -

Then the Heron's formula gives the area:

where

Something should be known about a triangle. We need its three independent components, like 3 sides or two sides and angle in between, or two sides and an altitude to the third etc.

The answer above is for three given sides. This is the Heron's formula. If you are interested in a derivation of this formula, you can refer to a course of advanced math for teenagers at UNIZOR and follow the menu options Geometry - Length, Area - Area Problems 1

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To calculate the area of a triangle without a right angle, you can use the formula for the area of a triangle using its base and height, regardless of whether it has a right angle or not. The formula is:

[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ]

You can choose any side of the triangle as the base, and the corresponding perpendicular distance from the opposite vertex to that base as the height. Then, substitute these values into the formula to find the area.

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