## How to Find the Area of a triangle

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A triangle is a polygon having \(3\) **edges** as well as \(3\) **vertices.** It’s a standard shape in geometry.

### What’s the Area of a Triangle?

The area of a triangle is described as the whole area **enclosed** by the \(3\) sides of any particular triangle. Essentially, it’s equal to **half** of the \(base \times height\), i.e. \(A \ = \ \frac{1}{2} \times b \times h\).

So, to figure out the area of a **tri-sided** polygon, you **must** know its base (\(b\)) and height (\(h\)). This applies to all triangles, **no matter** if it’s scalene, equilateral, or isosceles. To be observed, the triangle’s base and height are **perpendicular **to each other. The **unit** of the area gets measured in **square** units (\(m^2, \ cm^2\)).

### What are the Angles of a Triangle?

The angle of a triangle is the space created in-between \(2\) side lengths of a triangle. A triangle has interior **angles** and **exterior** angles. Interior angles are \(3\) angles existing **inside** a triangle. Exterior angles are created whenever a triangle’s sides get extended to **infinity**.

The figure underneath shows a triangle’s angle. The interior angles are \(a, \ b\) and \(c\), and the exterior angles are \(d, \ e\) and \(f\).

To **calculate** a triangle’s angles, you must recall the following \(3\) properties regarding triangles:

**Triangle angle sum theorem:**This says the sum of all the \(3\)**interior**angles of a triangle are equal to \(180\) degrees. \(a \ + \ b \ + \ c \ = \ 180°\)**Triangle exterior angle theorem:**This says the**exterior**angle is equal to the sum of \(2\)**opposite**and**non-adjacent**interior angles. \(f \ = \ b \ + \ a\)

### Exercises for Angle and Area of Triangles

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