Question

two equal sides of a triangle are each 5 metres less than twice the third side perimeter of the triangle is 55 metres .find the length of its sides ​

Answer 1

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Answer 2

Answer:

Given;

• The Perimeter of triangle=55m

To Find;

• The length of sides of triangle

Solution;

$\bf \: let \: the \: third \: side \: be \: x \\ \\ \bf other \: two \: sides = 2x - 5 \\ \\ \boxed{\bf \: according \: to \: the \: question} \\ \\ \bf \implies 2x - 5 + 2x - 5 + x = 55 \\ \\ \bf \implies5x - 10 = 55 \\ \\ \bf \implies5x = 65 \\ \\ \bf \implies \: x = 13 \\ \\ \boxed{ \bf \: First \: two \: sides = (2 \times 13) - 5 = 26 - 5 = 21m} \\ \\ \boxed {\bf \: \: Third \: side = 13m}$