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yawa3891 [41]
1 year ago
12

Calculate AD and hence BD.

Mathematics
1 answer:
Vilka [71]1 year ago
7 0

Answer:

AD = 15 cm , BD = 3 cm

Step-by-step explanation:

Δ ABC is similar to Δ ADE ( by the AA postulate )

then the ratios of corresponding sides are in proportion, that is

\frac{AD}{AB} = \frac{DE}{BC} ( substitute values )

\frac{AD}{12} = \frac{10}{8} ( cross- multiply )

8 × AD = 12 × 10 = 120 ( divide both sides by 8 )

AD = 15 cm

AB + BD = AD , that is

12 + BD = 15 ( subtract 12 from both sides )

BD = 3 cm

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