Find the area of an isosceles triangle whose equal sides are 12 cm each and the perimeter is 30 cm.
Mensuration
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Question

Find the area of an isosceles triangle whose equal sides are 12 cm each and the perimeter is 30 cm.

KnowledgeBoat · Accepted Answer

Consider △ABC as the isosceles triangle. Here, AB = AC = 12 cm. Perimeter = 30 cm ⇒ AB + AC + BC = 30 ⇒ 12 + 12 + BC = 30 ⇒ BC = 30 - 24 = 6 cm. We know that, Semi-perimeter (s) = = 15 cm. Area of an isosceles triangle = , where a is length of equal sides and b is the length of other side. Substituting values we get, Hence, area of isosceles triangle = 34.86 cm².

Mathematics

Find the area of an isosceles triangle whose equal sides are 12 cm each and the perimeter is 30 cm.

Mensuration

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Mathematics

Find the area of an isosceles triangle whose equal sides are 12 cm each and the perimeter is 30 cm.

Mensuration

Related Questions

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate the area of △ABC. Also find the length of perpendicular from A to BC.

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