The base of a triangular field is 3 times its height. If the cost of cultivating the field at the rate of ₹25 per 100 m² is ₹60000, find its base and height.

If the perimeter of a right angled triangle is 60 cm and its hypotenuse is 25 cm, find its area.

A triangular park ABC has sides 120 m, 80 m and 50 m (as shown in the adjoining figure). A gardner Dhania has to put a fence around it and also plant grass inside. How much area does she need to plant? Find the cost of fencing it with barbed wire at the rate of ₹ 20 per metre leaving a space 3 m wide for a gate on one side.

The perimeter of an isosceles triangle is 40 cm. The base is two third of the sum of equal sides. Find the length of each side.