Heron's Formula

A gardener has to put double fence all round a triangular path with sides 120 m, 80 m and 60 cm. In the middle of each sides, there is a gate of width 10 m. Find the length of the wire needed for the fence.

In a family with two sons, a father has a field in the form of a right angled triangle with sides 18 m and 40 m. He wants to give independent charge to his sons, so he divided the field in the ratio 2 : 1 : 1 , the bigger part he kept for himself and divided remaining equally among the sons, find the total area distributed to the sons.

rhombus shaped field has green grass for 36 cows to graze. If each side ofthe field is 30 m and longer diagonal is 48 m, then how much area of grass each cow will get, if 216m2 of area is not to be grazed.

A triangular colourful scenery is made in a wall with sides 50 cm, 50 cm and 80 cm. A golden thread is to hang from the vertex so as to just reach the side 80 cm. How much length of golden thread is required ?

Given three sticks of lengths 10 cm, 5 cm and 3 cm. Atriangle is formed using the sticks, then area of the triangle will be