Given a right-angled triangle ABC, C = 90 °, and AC = 5, BC = 12. Find the length AB.
| April 25, 2021 | education
To calculate the length of the hypotenuse AB in a right-angled triangle ABC, we use the Pythagorean theorem – the square of the hypotenuse is equal to the sum of the squares of the legs.
AB = √ (AC ^ 2 + BC ^ 2) = √ (5 ^ 2 + 12 ^ 2) = √ (25 + 144) = √169 = 13.
Answer: the length of the hypotenuse AB = 13 linear units.
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