Two equal sides of a triangle are each 5 metres less than twice the third side. If the perimeter of the triangle is 55 metres, find the lengths of its sides.
Linear Eqns One Variable
3 Likes

Question

Two equal sides of a triangle are each 5 metres less than twice the third side. If the perimeter of the triangle is 55 metres, find the lengths of its sides.

KnowledgeBoat · Accepted Answer

Let the length of the third side be x metres. Then, each of the two equal sides = (2x - 5) metres. Perimeter of the triangle = 55 metres. We know the formula: Perimeter of a triangle = Sum of all three sides 55 = (2x - 5) + (2x - 5) + x ⇒ 55 = 2x + 2x + x - 5 - 5 ⇒ 55 = 5x - 10 ⇒ 55 + 10 = 5x [Transposing -10 to LHS] ⇒ 65 = 5x ⇒ x = ⇒ x = 13 Third side = x = 13 m Each equal side = (2x - 5) m = (2 x 13 - 5) m = (26 - 5) m= 21 m Hence, the lengths of the sides of the triangle are 13 m, 21 m and 21 m.

Mathematics

Two equal sides of a triangle are each 5 metres less than twice the third side. If the perimeter of the triangle is 55 metres, find the lengths of its sides.

Linear Eqns One Variable

Related Questions

In a class of 40 students, the number of girls is three-fifths of the number of boys. Find the number of boys in the class.

The length of a rectangular park is three times its breadth. If the perimeter of the park is 192 metres, find the dimensions of the park.

Two supplementary angles differ by 44°. Find the angles.

The total cost of 3 tables and 2 chairs is ₹ 8745. If a table costs ₹ 40 more than a chair, find the price of each.