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How do you calculate the hypotenuse in trigonometry?
In trigonometry, the hypotenuse of a right triangle can be calculated using the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. So, to find the hypotenuse, you would square the lengths of the two shorter sides, add them together, and then take the square root of the result. This formula can be expressed as c = √(a^2 + b^2), where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
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How to calculate the hypotenuse using square roots?
To calculate the hypotenuse of a right triangle using square roots, you can use the Pythagorean theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, if you have the lengths of the two shorter sides (a and b), you can find the hypotenuse (c) by taking the square root of the sum of the squares of a and b, which can be written as c = √(a^2 + b^2). This formula allows you to find the length of the hypotenuse without needing to measure it directly.
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How do you calculate the hypotenuse of a triangle?
To calculate the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, if the two shorter sides of the right triangle are a and b, and the hypotenuse is c, the formula is c^2 = a^2 + b^2. To find the length of the hypotenuse, you would take the square root of the sum of the squares of the other two sides, so c = √(a^2 + b^2).
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How do you calculate the hypotenuse using square roots?
To calculate the hypotenuse of a right triangle using square roots, you can use the Pythagorean theorem. The theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. So, if you know the lengths of the other two sides, you can square them, add them together, and then take the square root of the sum to find the length of the hypotenuse. This formula is expressed as c = √(a^2 + b^2), where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
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How do you calculate the hypotenuse using the tangent?
To calculate the hypotenuse using the tangent, you first need to know the length of one of the sides of the right triangle and the measure of one of the acute angles. Then, you can use the tangent function, which is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. By rearranging the formula for the tangent, you can solve for the length of the hypotenuse.
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How do you calculate the square of the hypotenuse?
To calculate the square of the hypotenuse of a right-angled triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). This can be expressed as c^2 = a^2 + b^2. So, to find the square of the hypotenuse, you simply square the lengths of the other two sides and then add them together.
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How do you calculate the legs and the hypotenuse?
To calculate the legs of a right-angled triangle, you can use 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 lengths of the other two sides. So, to find the length of a leg, you would take the square root of the difference between the square of the hypotenuse and the square of the other leg. To calculate the hypotenuse, you would take the square root of the sum of the squares of the two legs.
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How can I calculate the lengths of the hypotenuse segments?
To calculate the lengths of the hypotenuse segments in a right triangle, you can use the Pythagorean theorem. The theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. So, to find the length of one of the segments, you can take the square root of the difference between the square of the hypotenuse and the square of the other segment. This will give you the length of one of the hypotenuse segments.
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