The sides of the triangle are 10 cm and 17 cm. Find the height of the triangle, lowered to the base, equal to 21 cm.
September 21, 2021 | education
| 1) Find the area on three sides a = 10 cm; h = 17 cm; c = 21 cm: perimeter of the triangle p = (10 + 17 + 21) cm = 48 cm; (p / 2) = 24 cm – we take this value into account in the area formula (p / 2) – half perimeter.
C = √ [24 cm * (24 – 10) cm * (24 – 17) cm * (24 – 21) cm] = √ [(24 cm * 14 cm * 7 cm * 3 cm)] = √ [(7056 ) cm ^ 4] = 84 cm ^ 2.
2) On the other hand, the area of the triangle C = c * h / 2 = 84 cm ^ 2, from where we find the height, pubescent on the base with, and equal to h.
3) h = 2 * C / s = (2 * 84 cm ^ 2) / 21 cm = 8 cm.
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