Q:

# What is the formula to find the area of a triangle?

A:

The formula for the area of a triangle is A = 1/2 x b x h. The value b is the width of the base and h is the height of the triangle from that base.

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Since a triangle has three sides, a triangle has three potential bases and heights, so consistent variable definition is crucial to obtain an accurate calculation. The base and height used in the formula need to be perpendicular to one another to correctly determine the area of the triangle.

The area of a right angled triangle is half the product of the two sides forming the right angle. If the measures of all three sides of the triangle are equal then it is called an equilateral triangle and its area is obtained by using the formula Area = √3/4 x side 2.

When all three sides of a triangle are given, the area is calculated by using Heron’s formula. This formula is given by Area = √s (s-a) (s-b) (s-c), where s=1/2 the perimeter of the triangle and a, b and c are the lengths of the sides of the triangle.

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