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.

Question

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.

KnowledgeBoat · Accepted Answer

Let the sides of the triangle be: a = 18 cm, b = 24 cm and c = 30 cm. The semi-perimeter s: ∵ Area of triangle = = cm² = cm² = cm² = 216 cm² Using the area formula to find the altitude corresponding to the largest side (base = 30 cm): Area = x base x altitude Let `h` be the altitude: ⇒ 216 = x 30 x h ⇒ 216 = 15 x h ⇒ h = ⇒ h = 14.4 cm Hence, the area of the triangle is 216 cm² and the length of altitude corresponding to the largest side is 14.4 cm.

Mathematics

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.

Mensuration

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ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate :
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Mathematics

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.

Mensuration

Related Questions

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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.

ABC is a triangle with AB = AC = 12 cm and ∠A = 90°, the area of the triangle ABC is :
144 cm²
36 cm²
72 cm²
108 cm²

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

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.