Question

A patch work on a bed sheet is made up of 6 triangular pieces of sides 48 cm, 33 cm and 17 cm which are arranged as shown. Find the cloth required for making 6 such patches.

Answer 1

Well its very easy we have been given the sides of the triangle and here we dont know what is the base and what is the height? well for that reason let us use heron's formula
For that we need semi perimeter
we know that
semi perimeter = a+b+b/2
where a,b,c are the sides of the triangle
so s= 48+33+17/2=49
so by herons formula we get
Area = [s(s-a) (s-b)(s-c)]^1/2
Area=[49(49-48)(49-33)(49-17)]^1/2
Area=(25088)^1/2
Area=158.39 cm^2

This is the area of one triangle
For six triangles= 158.39*6=950.34 cm^2

this is the area of 1 pattern and area of six such patterns = 950.34*6=5702.04 cm^2

Thus the area of cotton cloth required is 5702.04 cm^2
Hope this helped u :-)

Answer 2

first find the area of one triangular piece using Heron's formula, then multiply it by 6
Hence u get the area of one triangular patch
Whatever u get now multiply it further by 6 to get the area of 6 such triangular patches