The lengths of the sides of a triangle are in the ratio 3 : 4 : 5. Find the area of the triangle if its perimeter is 144 cm.

It is given that the lengths of the sides of a triangle are in the ratio 3 : 4 : 5. Let the lengths of the sides be 3a, 4a and 5a. The perimeter of the triangle is 144 cm. Perimeter = sum of all sides of triangle ⇒ 144 = 3a + 4a + 5a ⇒ 144 = 12a ⇒ a = ⇒ a = 12 So, the sides of triangle = 3a, 4a and 5a = 3 x 12, 4 x 12 and 5 x 12 = 36, 48 and 60 Let a = 36 cm, b = 48 cm and c = 60 cm. The semi-perimeter s: ∵ Area of triangle = = cm 2 = cm 2 = cm 2 = 864 cm 2 Hence, the area of the triangle is 864 cm 2 .

The sides of a triangle are 9 cm, 12 cm and 15 cm; the area of the triangle is :
54 cm²
96 cm²
108 cm²
135 cm²

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Find the area of a triangle whose sides are 18 cm, 24 cm and 30 cm.
Also, find the length of altitude corresponding to the largest side of the triangle.

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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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Mathematics

The lengths of the sides of a triangle are in the ratio 3 : 4 : 5. Find the area of the triangle if its perimeter is 144 cm.

Mensuration

Related Questions

The sides of a triangle are 9 cm, 12 cm and 15 cm; the area of the triangle is :
54 cm²
96 cm²
108 cm²
135 cm²

Find the area of a triangle whose sides are 18 cm, 24 cm and 30 cm.
Also, find the length of altitude corresponding to the largest side of the triangle.

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.

Mathematics

The lengths of the sides of a triangle are in the ratio 3 : 4 : 5. Find the area of the triangle if its perimeter is 144 cm.

Mensuration

Related Questions

The sides of a triangle are 9 cm, 12 cm and 15 cm; the area of the triangle is :54 cm296 cm2108 cm2135 cm2

Find the area of a triangle whose sides are 18 cm, 24 cm and 30 cm.Also, find the length of altitude corresponding to the largest side of the triangle.

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 sides of a triangle are 9 cm, 12 cm and 15 cm; the area of the triangle is :
54 cm²
96 cm²
108 cm²
135 cm²

Find the area of a triangle whose sides are 18 cm, 24 cm and 30 cm.
Also, find the length of altitude corresponding to the largest side of the triangle.

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.