SOLUTION: The sum of the squares of the lengths of the three sides of a right triangle is 300 cm2. How many cm are in the length of the hypotenuse? Express you answer in simplest radical for
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Question 238960: The sum of the squares of the lengths of the three sides of a right triangle is 300 cm2. How many cm are in the length of the hypotenuse? Express you answer in simplest radical form.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can start with the Pythagorean theorem:
1) and ...
2) "The sum of the squares of the lengths of the three sides of a right triangle is 300 sq.cm."
Solve equation 2) for
2a) Substitute
2b) Add to both sides.
2c) Divide both sides by 2.
2d) Take the square root of both sides.
2e) Simplify, noting that .
2f) cm.
The length of the hypotenuse is cm.
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