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Each side of an equilateral triangle measures 8 cm. Find(i) the area of the triangle, correct to 2 places of decimal and(ii) the height of the triangle, correct to 2 places of decimal. (Take √3 = 1.732) |
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Answer» (i) Consider a as the side of equilateral triangle i.e. a = 8cm Area of an equilateral triangle = (√3 × a2)/4 sq units So we get Area of the equilateral triangle = (√3 × 82)/4 On further calculation Area of the equilateral triangle = (√3 × 64)/4 So we get Area of the equilateral triangle = √3 × 16 By substituting the value of √3 Area of the equilateral triangle = 1.732 × 16 = 27.712 By correcting to two places of decimal Area of the equilateral triangle = 27.71 cm2 (ii) We know that Height of an equilateral triangle = √3/2 a By substituting the value Height of an equilateral triangle = √3/2 × 8 So we get Height of an equilateral triangle = √3 × 4 By substituting the value of √3 Height of an equilateral triangle = 1.732 × 4 = 6.928 By correcting to two places of decimal Height of an equilateral triangle = 6.93 cm |
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