2 years ago

In the diagram ABC ~ ADE, Find x

Mathematics

1 answer:

lara [203]2 years ago

3 0

Step-by-step explanation:

x = BD

$\frac{ab}{ad} = \frac{bc}{de} \\ \frac{10}{10 + bd} = \frac{12}{21} \\ 12 \times (10 + bd) = 21 \times 10 \\ 120 + 12bd = 210 \\ 12bd = 210 - 120 \\ 12bd = 90 \\ bd = \frac{90}{12} \\ bd = 7.5 \\$

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