In a right-angled triangle ABC, angle B = 90 degrees. Height BH = 5, AH = 2 1/12. find the hypotenuse AC if the leg BC = 13.
| April 23, 2021 | education
Since BH is height, then the triangle BCH is rectangular, then, according to the Pythagorean theorem, CH ^ 2 = BC ^ 2 – BH ^ 2 = 169 – 25 = 144.
CH = 12 cm.
The length of the hypotenuse AC = AH + CH = 25/12 + 12 = (25 + 144) / 12 = 169/12 = 14 (1/12) cm.
Answer: The length of the AC hypotenuse is 14 (1/12) cm.
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