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

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Question

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

Sum

Solution

Let ∆ABC be the given isosceles triangle, where AB = CA = 18 cm.

Perimeter of the ∆ABC = 50 cm

⇒ AB + BC + CA = 50 cm

⇒ 18 cm + BC + 18

⇒ 36 cm + BC = 50 cm

⇒ BC = 50 cm – 36 cm

⇒ BC = 14 cm

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Chapter 6: Mensuration - Exercise [Page 96]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 6 Mensuration
Exercise | Q 22 | Page 96

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