Find the legs of a right-angled triangle if the height drawn from the top of the right angle divides
| December 13, 2020 | education
Find the legs of a right-angled triangle if the height drawn from the top of the right angle divides the hypotenuse into segments: 64cm, 225cm.
According to the theorem of the leg: leg = root of the product of the hypotenuse and the projection of this leg to the hypotenuse.
Leg_1 = √ (64 * (64 + 225)) = 8 * 17 = 136 (cm)
Leg_2 = √ (225 * (64 + 225)) = 15 * 17 = 255 (cm).
Answer: 136 cm and 255 cm.
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