Question

two equal sides of a triangle are each 4m less than three times the third side . find the dimensions of the triangle if its perimeter is 55m.

Answer 1

The dimensions of triangle is 9 m, 23 m and 23 m.

Given - Relation between sides and perimeter

Find - Dimensions of triangle

Solution - Let the third side of triangle be x. So, the other two sides of triangle are (3x - 4) each.

Perimeter = sum of all sides of triangle

$x + (3x - 4) + (3x - 4) = 55$

$7x - 8 = 55$

$7x = 55 + 8$

$7x = 63$

$x = \frac{63}{7}$

$x = 9$

Other side = 3x - 4

Other side = 3*9 - 4

Other side = 27 - 4

Other side = 23 m

Hence, the third side of triangle is 9 m and the other two sides of triangle are 23 m each.

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