Have you ever looked at a triangle and wondered how tall it was? The height of a triangle is the distance from the base to the highest point, or vertex. There are a few different ways to figure out the height of a triangle. One way involves using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. If you know the lengths of the base and the hypotenuse, you can use this theorem to find the height of the triangle. Another way to figure out the height of a triangle is to use the area formula, which states that the area of a triangle is equal to half the base times the height. If you know the area of the triangle and the length of the base, you can use this formula to find the height.
In this article, we will discuss the process of figuring out the height of a triangle using the Pythagorean theorem. We will also provide some practice problems so that you can apply what you have learned. If you want to learn more about triangles, be sure to check out our other articles on the topic.
Now that you have a basic understanding of how to find the height of a triangle, let’s try some practice problems. In the first problem, we will use the Pythagorean theorem to find the height of a triangle with a base of 10 feet and a hypotenuse of 15 feet. To solve this problem, we will use the following formula:
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height = √(hypotenuse² – base²)
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Plugging in the values we know, we get:
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height = √(15² – 10²)
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height = √(225 – 100)
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height = √125
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height = 11.18 feet
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Therefore, the height of the triangle is 11.18 feet.
