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The perimeter of an equilateral triangle is 450 m. Find its area and altitudeUse(√3=1.73) |
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Answer» Perimeter = 3 * a = 450 mside a = 150 m Altitude = AD Base = BC. AD⊥ BC . D is the midpoint of BC.Using Pythagoras th.: AD² = AC² - DC² = a² - (a/2)² = 3 a²/ 4Altitude of an equilateral triangle =√3/2 * a Area = 1/2 * base * altitude =√3 a² / 4 =√3 * 150² / 4 = 5625√3 m² |
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