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565 save now let s look at an example of a problem where we are asked to find the length of a leg of a right triangle.
Pythagorean theorem examples and answers. Ad2 3bd2. How to use the pythagorean theorem. Use the pythagorean theorem to calculate the value of x. This problems is like example 2 because we are solving for one of the legs.
6 2 8 2 x 2 which is the same as. In pythagorean theorem c is the triangle s longest side while b and a make up the other two sides. The longest side of the triangle in the pythagorean theorem is referred to as the hypotenuse. Round your answer to the nearest hundredth.
9 2 x 2 10 2 81 x 2 100 x 2 100 81 x 2 19 x 19 4 4. Find the value of x. Remember our steps for how to use this theorem. Bd cd 1 2bc.
Write down the formula. Find the length of the hypotenuse. Consider δabd by the pythagorean theorem we have. The pythagorean theorem can be used when we know the length of two sides of a right triangle and we need to get the length of the third side.
100 x 2 therefore we can write. When applying the pythagorean theorem this squared is equal to the sum of the other two sides squared. Many people ask why pythagorean theorem is important. Ab2 ad2 bd2 bc2 ad2 bd2 ab bc ac 2bd 2 ad2 bd2 bd 1 2bc 4bd2 ad2 bd2 ad2 3bd2.
This is the hypotenuse. Since the triangle is equilateral the altitude ad is also the median and so. Pythagorean theorem example 1 in a right triangle the length of one leg is 6 cm and the length of the other leg is the square root of 13 cm.
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