Q6 of 31 Page 45

Using the measures given in the figure below, find the area of □EFGH.

Given:


GF = 50 m


GH = 34 m


HF = 52 m


Semi perimeter of Δ GHF =


According to Heron’s formula


Area of the triangle = √(s(s-a)(s-b)(s-c))


⇒ Area of the triangle Δ GHF = 816 sq m


Given:


HE = 20 m


EF = 48 m


HF = 52 m


Semi perimeter of Δ EHF =


According to Heron’s formula


Area of the triangle = √(s(s-a)(s-b)(s-c))


⇒ Area of the triangle Δ EHF = 480 sq m


Area of EFGH = Area of the triangle Δ GHF + Area of the triangle Δ EHF = 1296 sq m


More from this chapter

All 31 →
4

Use Heron’s formula to find the area of an equilateral triangle whose side is ‘p’.

 5

The □PQRS alongside is the map of a plot of land. Using the given measures, find its area.

 7

(1) From the measures given in the figure alongside, find the area of Δ ABC.

(2) Using Pythagoras’ theorem find the length of side AC.


(3) Find the area of Δ ABC using Heron’s formula.


 8

In each of the figures below, find the area of the coloured portion.

(1)


(2)


(3)


(4)