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 .

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.

View Answer Bookmark Now

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.

View Answer Bookmark Now

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.

View Answer Bookmark Now

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

View Answer Bookmark Now

Mathematics

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

Mensuration

Related Questions

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.

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.

Mathematics

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

Mensuration

Related Questions

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.

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.

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.