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# Area of Triangle

The area of a triangle is a measure of the amount of space inside the triangle. To find the area of a triangle, we use the formula:

Area = (base x height)/2.

In this article, you will learn how to find the area of a triangle with examples and the area of triangle FAQs.

## How to Calculate the Area of  Triangle The base can be any side of the triangle, which is perpendicular to its height or altitude. The height or altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.

However, this formula cannot be used when only sides of a triangle are given or when two sides and one angle is given

Here are five examples to help you understand how to use the formula:

Example 1:

A triangle has a base of 6 cm and a height of 4 cm.

To find the area, we use the formula: (6 x 4) / 2 = 12 cm^2.

So the area of the triangle is 12 square centimeters.

Example 2:

A triangle has a base of 8 inches and a height of 6 inches.

To find the area, we use the formula: (8 x 6) / 2 = 24 inches^2.

So the area of the triangle is 24 square inches.

Example 3:

A triangle has a base of 10 cm and a height of 8 cm.

To find the area, we use the formula: (10 x 8) / 2 = 40 cm^2.

So the area of the triangle is 40 square centimeters.

Example 4:

A triangle has a base of 7 inches and a height of 9 inches.

To find the area, we use the formula: (7 x 9) / 2 = 31.5 inches^2.

So the area of the triangle is 31.5 square inches.

Example 5:

A triangle has a base of 15 cm and a height of 12 cm.

To find the area, we use the formula: (15 x 12) / 2 = 90 cm^2.

So the area of the triangle is 90 square centimeters.

It’s important to remember that to find the area of a triangle, you need to know the base and the height of the triangle, and then use the formula (base x height) / 2. Once you have the formula, you can calculate any triangle’s area by plugging in the base and height values.

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## Area of Triangle FAQS

##### How do I know if a triangle is a right triangle?

A right triangle is a triangle with one 90 degree angle. It can be identified by the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

##### How do I find the area of an equilateral triangle?

The area of an equilateral triangle can be found by multiplying the base of the triangle by the height and dividing by 2. The height can be found by using the Pythagorean theorem, where the hypotenuse is the side opposite the right angle and the other two sides are the legs.

##### How do I find the area of an isosceles triangle?

The area of an isosceles triangle can be found by multiplying the base of the triangle by the height and dividing by 2. The height can be found by using the Pythagorean theorem, where the hypotenuse is the side opposite the right angle and the other two sides are the legs.

##### How do I find the area of a triangle when I only have the three side lengths?

The area of a triangle can be found using Heron’s formula, which is a method for finding the area of a triangle when all three side lengths are known. It is based on the semiperimeter of the triangle, which is half of the sum of the side lengths.

##### How do I find the area of a triangle when I only have two side lengths and the angle between them?

The area of a triangle can be found using the formula (1/2) * a * b * sin(C), where a and b are the known side lengths and C is the angle between them. Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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