Question

10. Two equal sides of an isoscles triangle are each 2 cm 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

Answer:

third side = 9

Step-by-step explanation:

let each side be x

one equal side = 3x + 2

(3x + 2) x 2 + x = 67

7x + 4 = 67

7x = 67 - 4 = 63

x = 63 / 7 = 9

equal side = 3 x 9 + 2 = 27 + 2 = 29  

third side = 9

Answer 2

Let us consider the sides to x, x+2cm and x+2cm.

Therefore,

x+x+2cm+x+2cm = 67cm

3x+4cm =67cm

3x=63cm

x=21cm

Therefore the three sides are 21cm, 23cm and 23 cm.