The perimeter of an isosceles triangle is 24 cm. the length of its congruent sides is 13 cm less than twice the length of its base. find the lengths of all sides of the triangle.

  1. (4) 3) The perimeter of an isosceles triangle is 24 cm. The length of its..
  2. The perimeter of an isosceles triangle is 30 cm . The length of each congruent side is 3cm more than the length of its base. Find the lengths of all the sides.


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(4) 3) The perimeter of an isosceles triangle is 24 cm. The length of its..

(4) 3) The perimeter of an isosceles triangle is 24 cm. The length of its congruent sides is 13 cm less than twice the length of its base. Find the lengths of all sides of the triangle. Updated On Jan 5, 2023 Topic All topics Subject Mathematics Class Class 10 Answer Type Video solution: 1 Upvotes 126 Avg. Video Duration 2 min

The perimeter of an isosceles triangle is 30 cm . The length of each congruent side is 3cm more than the length of its base. Find the lengths of all the sides.

Let the congruent sides of an isosceles △ be x. Let the base of the isosceles △ be y According to the 1st condition, x + x + y = 3 0 2 x + y = 3 0 According to the 2nd condition x = y + 3 x − y = 3 Solving equation (1) and (2) 2 x + y = 3 0 x − y = 3 ------------------- 3 x = 3 3 x = 3 3 3 ​ x = 1 1 By substituting x = 1 1 in equation (1) 2 x + y = 3 0 2 ( 1 1 ) + y = 3 0 2 2 + y = 3 0 y = 3 0 − 2 2 = 8 ∴ The length of the sides of a △ are 1 1 c m , 1 1 c m and 8 c m.