Question

9 The triangle is to be reduced by a ratio of 1:2.
4cm
a Calcuiats the area of the original triangle.
b Calculate the area of the reduced triangle.
C Calculate the ratio by which the area of the triangle has been
reduced.
10 Fram questions 5-9 can you conclude uhot honna​

Answer 1

Given  : triangle is to be reduced by a ratio of 1:2.

To Find :   the ratio by which the area of the triangle has been

reduced.

Solution:

Let say  Area of  original triangle is  4A

triangle is to be reduced by a ratio of 1:2.

=> Both triangles would be similar with side ratio   2  : 1

Ratio of area of similar triangle = (ratio of sides)²

=> Ratio of area of similar triangle = (2:1)²

=> Ratio of area of similar triangle = 4 : 1

=> 4A / x = 4 /1

=> x  = A

area of reduced triangle is A

Area reduced by = 4A - A = 3A

original area = 4A

Area reduced by = 3A/4A = 3/4  = 3 : 4  = 75 %

Area reduced to = A/4A = 1/4 =  1: 4 = 25 %

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