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:
Sides are 29cm, 29cm and 9cm
Step-by-step explanation:
Let the sides of triangle be = x cm
Third side of the triangle be = y cm
Now,
= x = 3y + 2 (i)
Perimeter of the triangle = 67 cm = x + x + y = 67 cm = 2x + y = 67 cm
From equation (i)
= 6y + y + y = 67
= 7y + y = 67
= y = 9 cm
From equation (i)
= x = 3y + 2
= 3 × 9 + 2 = 29 cm
- Hence, the length of its sides are 29 cm, 29 cm and 9 cm
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