Find the area of an isosceles triangle with perimeter 36 cm and base 16 cm.

Question

KnowledgeBoat · Accepted Answer

Given: Perimeter = 36 cm Base = 16 cm Let `a` be the length of the equal sides of the triangle. Perimeter = 2 x Equal side + Base ⇒ 36 = 2a + 16 ⇒ 2a = 36 - 16 ⇒ 2a = 20 ⇒ a = ⇒ a = 10 cm Thus, the triangle has two equal sides, each 10 cm long, and a base of 16 cm. a = 10 cm, b = 10 cm and c = 16 cm. The semi-perimeter is: ∵ Area of triangle = = cm² = cm² = cm² = 48 cm² Hence, the area is 48 cm².

Mathematics

Find the area of an isosceles triangle with perimeter 36 cm and base 16 cm.

Mensuration

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Mathematics

Find the area of an isosceles triangle with perimeter 36 cm and base 16 cm.

Mensuration

Related Questions

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