Find the area of an isosceles triangle whose base is 6 cm and perimeter is 16 cm.

Given, base = 6 cm and perimeter = 16 cm Consider △ABC as an isosceles triangle in which, Let, AB = AC = x cm. So, BC = 6 cm. We know that, Perimeter of △ABC = AB + BC + AC Substituting the values we get, ⇒ 16 = x + 6 + x ⇒ 16 = 2x + 6 ⇒ 16 – 6 = 2x ⇒ 10 = 2x ⇒ x = = 5 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 = 12 cm 2 .

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

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The sides of a right-angled triangle containing the right angle are 5x cm and (3x – 1) cm. Calculate the length of the hypotenuse of the triangle if its area is 60 cm².

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In △ABC, ∠B = 90°, AB = (2x + 1) cm and BC = (x + 1) cm. If the area of the △ABC is 60 cm², find its perimeter.

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Mathematics

Find the area of an isosceles triangle whose base is 6 cm and perimeter is 16 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.

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

The sides of a right-angled triangle containing the right angle are 5x cm and (3x – 1) cm. Calculate the length of the hypotenuse of the triangle if its area is 60 cm².

In △ABC, ∠B = 90°, AB = (2x + 1) cm and BC = (x + 1) cm. If the area of the △ABC is 60 cm², find its perimeter.

Mathematics

Find the area of an isosceles triangle whose base is 6 cm and perimeter is 16 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.

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

The sides of a right-angled triangle containing the right angle are 5x cm and (3x – 1) cm. Calculate the length of the hypotenuse of the triangle if its area is 60 cm2.

In △ABC, ∠B = 90°, AB = (2x + 1) cm and BC = (x + 1) cm. If the area of the △ABC is 60 cm2, find its perimeter.

The sides of a right-angled triangle containing the right angle are 5x cm and (3x – 1) cm. Calculate the length of the hypotenuse of the triangle if its area is 60 cm².

In △ABC, ∠B = 90°, AB = (2x + 1) cm and BC = (x + 1) cm. If the area of the △ABC is 60 cm², find its perimeter.