HOW TO FIND MISSING SIDES OF SIMILAR FIGURES

Two figures are similar if one is an enlargement of the other (regardless of orientation).

If two figures are similar then :

  • the figures are equiangular, and
  • the corresponding sides are in proportion.

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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