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2 13. Each of the two equal sides of a triangle are 4 m less than three times the third sideFind the dimensions of the triangle, if its perimeter is 55 m |
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Answer» ch of the two EQUAL sides of a triangle are 4 m less than three times the third side. Perimeter of the triangle = 55 mTo findDimensions of the triangle ConceptWe are given that the triangle has two equal sides which are 4 m less than three times the third side. So, it is an Isosceles triangle. Firstly, we will let the third side as x and the other two equal sides as 3x - 4. We have the value of the perimeter of the triangle, by using the formula of perimeter of triangle we will FIND the value of x. By substituting the value of x in the sides which we have let, we will find the dimensions of the triangle. Answer Dimensions of the triangle :-Two equal sides = 23 m Third side = 9 mSolutionLet the third side of the triangle be x m and the two equal sides be (3x - 4) m where,a = two equal sides b = third sideSubstituting the values, Substituting the value of x in the sides of the triangle.The two equal sides = 3x - 4 = 3 × 9 - 4 = 27 - 4 = 23 m The third side = x = 9 m________________________________________ |
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