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Formulas of Triangles - 2 Video Lecture | Crash Course for GRE
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FAQs on Formulas of Triangles - 2 Video Lecture - Crash Course for GRE
| 1. What are the formulas for finding the area of a triangle? |  |
Ans. The formula for finding the area of a triangle is A = 1/2 * base * height. You can also use Heron's formula, which is A = √(s * (s - a) * (s - b) * (s - c)), where s is the semi-perimeter of the triangle and a, b, and c are the lengths of the sides.
| 2. How do you find the perimeter of a triangle? | |
Ans. To find the perimeter of a triangle, you simply add up the lengths of all three sides. The perimeter of a triangle is given by P = a + b + c, where a, b, and c are the lengths of the three sides.
| 3. Can you find the area of a triangle if you only know the lengths of the sides? | |
Ans. Yes, you can find the area of a triangle if you know the lengths of the sides by using Heron's formula. Plug in the lengths of the sides into the formula A = √(s * (s - a) * (s - b) * (s - c)), where s is the semi-perimeter of the triangle and a, b, and c are the lengths of the sides.
| 4. How do you find the height of a triangle if you know the base and area? | |
Ans. To find the height of a triangle if you know the base and area, you can rearrange the formula for the area of a triangle to solve for the height. The height h can be calculated as h = 2 * A / base, where A is the area of the triangle and base is the length of the base.
| 5. What is the Pythagorean theorem and how is it used in triangles? | |
Ans. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It is commonly used to find the length of one side of a right triangle if the lengths of the other two sides are known.
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Dec 23, 2024 Last updated |
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