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

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

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 base is 6 cm and perimeter is 16 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.

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.

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

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.