Find the hypotenuse in a right-angled triangle if its legs are 2 and 4.
| January 8, 2021 | education
Knowing the legs of a right-angled triangle, you can find the hypotenuse by the Pythagorean theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
c ^ 2 = a ^ 2 + b ^ 2;
a = 2, b = 4; c ^ 2 = 2 ^ 2 + 4 ^ 2 = 4 + 16 = 20;
c = √20 = √ (4 * 5) = 2√5.
Answer. 2√5.
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