Question 22

Perimeter of an isosceles triangle is 50 cm. If one of the two equal sides is 18 cm, find the third side.

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Solution

Given, perimeter = 50 cm

$∴$ Perimeter of an isosceles triangle = Sum of its all sides

$\Rightarrow$ Perimeter = a + b + c

$\Rightarrow$ 50 = 18 + 18 + Third side

$\Rightarrow$ 50 = 36 + Third side

$\Rightarrow$ 50 - 36 = Third side

$\Rightarrow$ 14 = Third side

$∴$ Third side = 14 cm

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Perimeter of a Triangle

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Question 22 Perimeter of an isosceles triangle is 50 cm. If one of the two equal sides is 18 cm, find the third side.

Given, perimeter = 50 cm ∴ Perimeter of an isosceles triangle = Sum of its all sides ⇒ Perimeter = a + b + c ⇒ 50 = 18 + 18 + Third side ⇒ 50 = 36 + Third side ⇒ 50 - 36 = Third side ⇒ 14 = Third side ∴ Third side = 14 cm

Question 22

Perimeter of an isosceles triangle is 50 cm. If one of the two equal sides is 18 cm, find the third side.

Given, perimeter = 50 cm

$∴$ Perimeter of an isosceles triangle = Sum of its all sides

$\Rightarrow$ Perimeter = a + b + c

$\Rightarrow$ 50 = 18 + 18 + Third side

$\Rightarrow$ 50 = 36 + Third side

$\Rightarrow$ 50 - 36 = Third side

$\Rightarrow$ 14 = Third side

$∴$ Third side = 14 cm