Work out the length of BD in the diagram.
Work out the length of BD in the diagram below
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To determine the length of in the diagram, we can use the fact that triangles and are similar. In similar triangles, corresponding sides are proportional.
The lengths given in the diagram are:
Since and are corresponding sides, and and are also corresponding sides, we can set up the proportion:
CBCD=CACE
Since , we can substitute the values:
Solving this proportion will give us the length of .
Let’s calculate:
So, the length of is 10.5 cm.