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

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 = = cm 2 = cm 2 = cm 2 = 48 cm 2 Hence, the area is 48 cm 2 .

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate :
(i) the area of Δ ABC,
(ii) the length of perpendicular from A to BC.

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The base of an isosceles triangle is 24 cm and its area is 192 sq. cm. Find its perimeter.

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The given figure shows a right-angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion.

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Mathematics

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

Mensuration

Related Questions

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate :
(i) the area of Δ ABC,
(ii) the length of perpendicular from A to BC.

The base of an isosceles triangle is 24 cm and its area is 192 sq. cm. Find its perimeter.

The given figure shows a right-angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion.

Mathematics

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

Mensuration

Related Questions

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate :(i) the area of Δ ABC,(ii) the length of perpendicular from A to BC.

The base of an isosceles triangle is 24 cm and its area is 192 sq. cm. Find its perimeter.

The given figure shows a right-angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion.

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate :
(i) the area of Δ ABC,
(ii) the length of perpendicular from A to BC.