Find the area of the triangle whose sides are 13 cm, 14 cm and 15 cm. Also, find the height of the triangle, corresponding to the longest side.
Mensuration
2 Likes

Question

Find the area of the triangle whose sides are 13 cm, 14 cm and 15 cm. Also, find the height of the triangle, corresponding to the longest side.

KnowledgeBoat · Accepted Answer

Let a = 13 cm, b = 14 cm and c = 15 cm. Then, s = = 21 cm. ⇒ (s - a) = (21 - 13) cm = 8 cm. ⇒ (s - b) = (21 - 14) cm = 7 cm. ⇒ (s - c) = (21 - 15) cm = 6 cm. We know that, Length of the longest side = 15 cm. Let the corresponding height be x cm. Then, Hence, area of triangle = 84 cm2 and the height of the triangle = 11.2 cm.

Mathematics

Find the area of the triangle whose sides are 13 cm, 14 cm and 15 cm. Also, find the height of the triangle, corresponding to the longest side.

Mensuration

Related Questions

Find the area of a triangle whose base is 15 cm and the corresponding height is 9.6 cm.

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

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

The perimeter of a triangular field is 540 m and its sides are in the ratio 25 : 17 : 12. Find the area of the triangle. Also, find the cost of cultivating the field at ₹ 24.60 per 100 m².

Mathematics

Find the area of the triangle whose sides are 13 cm, 14 cm and 15 cm. Also, find the height of the triangle, corresponding to the longest side.

Mensuration

Related Questions

Find the area of a triangle whose base is 15 cm and the corresponding height is 9.6 cm.

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

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

The perimeter of a triangular field is 540 m and its sides are in the ratio 25 : 17 : 12. Find the area of the triangle. Also, find the cost of cultivating the field at ₹ 24.60 per 100 m2.

The perimeter of a triangular field is 540 m and its sides are in the ratio 25 : 17 : 12. Find the area of the triangle. Also, find the cost of cultivating the field at ₹ 24.60 per 100 m².