Two figures are similar if one is an enlargement of the other (regardless of orientation).
If two figures are similar then :
These figures are similar. Find x to 2 decimal places.
Example 1 :
Solution :
Since the given shapes are similar, corresponding sides will be in the same ration.
3/4 = 5/x
3x = 20
x = 20/3
x = 6.67 cm.
Example 2 :
Solution :
Since the given figures are similar, the corresponding sides will be in the same ratio.
4/x = 3/6
4(6) = 3x
x = 24/3
x = 8 cm
Example 3 :
Solution :
Since the given figures are similar, the corresponding sides will be in the same ratio.
7/4 = x/5
7(5) = 4x
x = 35/4
x = 8.75 cm
Example 4 :
Solution :
Since the given figures are similar, the corresponding sides will be in the same ratio.
5/3 = 8/x
5x = 8(3)
5x = 24
x = 24/5
x = 4.8 cm
Example 5 :
Solution :
Since the given figures are similar, the corresponding sides will be in the same ratio.
x/5 = 7/11
11x = 7(5)
11x = 35
x = 35/11
x = 3.18 cm.
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