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

Step-by-step explanation:

Let an isosceles triangle have equal sides in length of 2x cm

So, x cm be the third side of the triangle

Perimeter of the triangle =30 cm

⇒ x+2x+2x=30

⇒ 5x=30

⇒ x=

5

30

⇒ x=6

Therefore, the required sides of the isosceles triangle are 6,12 and 12 cm

Answer 2

Answer:

The length of its 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