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The length of sides of traingle is 3:4:5 and its perimeter is 48 find its area |
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Answer» on✯The lengths of sides of triangle are in the RATIO 3:4:5 and it's PERIMETER is 48CM. Find it's area.✭Given✭Ratio of lengths of triangle = 3:4:5Perimeter = 48cm✶To find✶Area of the triangle✬Solution✬Let the sides of the triangle be 3x , 4x , 5xPerimeter = Sum of all sides48cm = 3x + 4x + 5x12x = 48cmx = ⁴⁸⁄₁₂x = 4✭Substitution✭3x = 3(4) = 12cm4x = 4(4) = 16cm5x = 5(4) = 20cm★We got the sides of the triangle★★By HERON's Formula, let's find area★Perimeter = 48cmSemi Perimeter = ⁴⁸⁄₂ = 24cma = 12cmb = 16cmc = 20cms = 24cm✵Formula✵ √s(s-a)(s-b)(s-c) √24(24-12)(24-16)(24-20)√24(12)(8)(4)√24(384)√921696cm²✩The area of triangle is 96cm²✩ |
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