What is the sum of the squares of the legs?
May 2, 2021 | education
| The sum of the squares of the legs is equal to the square of the hypotenuse of a right-angled triangle.
This expression is the Pythagorean theorem, which is written in literal form as:
c ^ 2 = a ^ 2 + b ^ 2.
Let us assume that the leg a = 3 cm, and the leg b = 4 cm.
In this case, the sum of their squares will be equal to:
c ^ 2 = 3 ^ 2 + 4 ^ 2 = 9 + 16 = 25.
√s = √25 = 5 cm (hypotenuse).
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