In a right-angled triangle, the legs and hypotenuse are 30 cm 50 cm. Calculate the height drawn from the right angle.
| June 2, 2021 | education
In a right-angled triangle, the square of the leg of the triangle is equal to the product of the hypotenuse, by the segment cut off by the height, which is enclosed between the leg and the hypotenuse.
AB ^ 2 = AC * AD.
AD = AB ^ 2 / AC = 30 ^ 2/50 = 900/50 = 18 cm.
From the right-angled triangle ABD, according to the Pythagorean theorem, we determine the length of the leg BD.
BD ^ 2 = AB ^ 2 – AD ^ 2 = 30 ^ 2 – 18 ^ 2 = 900 – 324 = 576.
ВD = 24 cm.
Answer: The length of the height BD is 24 cm.
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