Question

perimeter of an isoscles triangle is 24cm.the lenght of its congruent sides is 13 less than twice its base.find the lenght of all sides

Answer 1

Answer:

7cm , 7cm , 10cm

Step-by-step explanation:

Perimeter of isosceles triangle = 24cm

Base length = X

Length of congruent sides = 2x - 13

So lengths of all sides :

Perimeter of a triangle = a + b + c

So 24cm = X + 2X - 13 + 2X - 13

24 = 5X - 26 (take 26 to the other side)

24 + 26 = 5X

50 = 5X (take 5 to the other side)

X = 50/5 = 10cm

So X = 10cm

SO 2X - 13 = ( 2 × 10 ) - 13 = 20 - 13 = 7cm

So the sides are 7cm , 7cm and 10cm.

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