Question

Two equal sides of an isosceles triangle are each 2cm more than thrice the third side. If the perimeter of triangle is 67 cm, find the lengths of its sides.


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Answer 1

Let the third side be x.

Therefore two equal sides of isosceles triangle=2(x+2)

Therefore x=

2(x+2)+x=67

2x+4+x=67

3x=67-4=63

x=63/3

x=21

Therefore the 3rd side is 21cm and the 2 equal sides equal to x+2

=21+2=23 cm

Answer 2

Answer:

let the third side be- x

let the equal sides be- 3x+2

perimeter- 67cm

x+3x+2+3x+2=67

7x= 67-4

x=63/7

x=9

two equal sides = 3x+2

3*9+2

= 29

third side = 9 cm