If the lengths of the sides of a triangle are in the ratio 3: 4 : 5 and its perimeter is 48 cm, find its area.

Let a, b and c be the sides of the triangle. Given, Ratio of the sides are 3 : 4 : 5. Let a = 3x cm, b = 4x cm and c = 5x cm. Given, ⇒ Perimeter = 48 cm ⇒ a + b + c = 48 ⇒ 3x + 4x + 5x = 48 ⇒ 12x = 48 ⇒ x = = 4. Substituting value of x, a = 3x = 3 × 4 = 12 cm, b = 4x = 4 × 4 = 16 cm, c = 5x = 5 × 4 = 20 cm. We know that, Semi perimeter (s) = . Area of triangle = Substituting values we get, Hence, area of triangle = 96 cm 2 .

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

If the perimeter of an equilateral triangle is 36 cm, calculate its area and height.

View Answer Bookmark Now

Mathematics

If the lengths of the sides of a triangle are in the ratio 3: 4 : 5 and its perimeter is 48 cm, find its area.

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.

If the perimeter of an equilateral triangle is 36 cm, calculate its area and height.