Find the area of a triangle whose sides are 34 cm, 20 cm and 42 cm. Hence, find the length of the altitude corresponding to the shortest side.
Mensuration
85 Likes

Question

Find the area of a triangle whose sides are 34 cm, 20 cm and 42 cm. Hence, find the length of the altitude corresponding to the shortest side.

KnowledgeBoat · Accepted Answer

Consider 34 cm, 20 cm and 42 cm as the sides of triangle. a = 34 cm, b = 20 cm and c = 42 cm We know that, Semi perimeter (s) = Substituting the values we get, s = = 48 cm. Area of triangle = Substituting values we get, Here the shortest side of the triangle is 20 cm. Let height = h cm be the corresponding altitude. We know that, Area of triangle = × base × height Substituting the values we get, ⇒ 336 = × 20 × h ⇒ h = ⇒ h = ⇒ h = 33.6 cm. Hence, area of triangle = 336 cm² and length of the altitude corresponding to the shortest side = 33.6 cm.

Mathematics

Find the area of a triangle whose sides are 34 cm, 20 cm and 42 cm. Hence, find the length of the altitude corresponding to the shortest side.

Mensuration

Related Questions

Find the area of a triangle whose sides are 29 cm, 20 cm and 21 cm.

Find the area of a triangle whose sides are 12 cm, 9.6 cm and 7.2 cm.

The sides of a triangular field are 975 m, 1050 m and 1125 m. If this field is sold at the rate of ₹ 10 lakh per hectare, find its selling price. [1 hectare = 10000 m²]

The base of a right angled triangle is 12 cm and its hypotenuse is 13 cm long. Find its area and the perimeter.

Mathematics

Find the area of a triangle whose sides are 34 cm, 20 cm and 42 cm. Hence, find the length of the altitude corresponding to the shortest side.

Mensuration

Related Questions

Find the area of a triangle whose sides are 29 cm, 20 cm and 21 cm.

Find the area of a triangle whose sides are 12 cm, 9.6 cm and 7.2 cm.

The sides of a triangular field are 975 m, 1050 m and 1125 m. If this field is sold at the rate of ₹ 10 lakh per hectare, find its selling price. [1 hectare = 10000 m2]

The base of a right angled triangle is 12 cm and its hypotenuse is 13 cm long. Find its area and the perimeter.

The sides of a triangular field are 975 m, 1050 m and 1125 m. If this field is sold at the rate of ₹ 10 lakh per hectare, find its selling price. [1 hectare = 10000 m²]