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# What is the area of a triangle?

**The area of a triangle is found by multiplying one-half times its base times its height.** According to Wolfram Mathworld, Beyer and Baker there are 110 formulas for the area of a triangle.

The area of a surface is the amount of material needed to "cover" it completely. Knowing the area of a backyard is needed for reseeding or sod installation. Knowing the area of one's roof is required to purchase the correct number of shingles. Painting a room and laying pavers also require area calculations. The formula for calculating the area of a triangle is given by A = 1/2• b•h, where "A" is the area, "b" is the base and "h" is the height. If a triangle has a base of 20 meters and a height of 12 meters, the area is given by 1/2 • 20 meters • 12 meters, which yields 120 square meters.

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## How do you find the height of a triangle?

A: Use the Pythagorean theorem to find the height of a triangle. Subtract the square of the base from the square of the hypotenuse, and find the square root o... Full Answer >Filed Under: -
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## How do you calculate the area of a triangle with its vertices?

A: The area of a triangle can be calculated from its vertices by using a formula to find the distances between them. This allows for the calculation of the ar... Full Answer >Filed Under: -
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## What is the significance of the orthocenter of a triangle?

A: The point of intersection of the three altitudes of a triangle is called the orthocenter, and the altitudes can be used to calculate the area of a triangle... Full Answer >Filed Under: -
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## How do you calculate the area of a triangle?

A: Find the length of the triangle's base and height, multiply them together, and divide the product by two to find the area. Find the length of all sides of ... Full Answer >Filed Under: