u7s1aqmch01If two sides of a right triangle measure 11cm and 7cm, find the length of the side across from the right angle.
Question
If two sides of a right triangle measure 11cm and 7cm, find the length of the side across from the right angle.
Solution
This is a right triangle problem that can be solved using the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Here are the steps to solve the problem:
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Identify the lengths of the two sides given. In this case, they are 11 cm and 7 cm.
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Square each of these lengths.
- 11^2 = 121
- 7^2 = 49
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Add these squares together.
- 121 + 49 = 170
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Take the square root of the sum to find the length of the hypotenuse.
- √170 = approximately 13.04 cm
So, the length of the side across from the right angle (the hypotenuse) is approximately 13.04 cm.
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