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padilas [110]
3 years ago
10

8. In the figure, ADC is a straight line.

Mathematics
1 answer:
dlinn [17]3 years ago
4 0

Answer:

a). ΔABC ~ ΔBDC

b). m(BD) = 6 units

Step-by-step explanation:

If ΔABC ~ ΔBDC,

a). Ratio of the corresponding sides of both the triangles will be equal.

\frac{AB}{BD}=\frac{BC}{DC}=\frac{AC}{BC}

\frac{BC}{DC}=\frac{AC}{BC}

\frac{12}{9}=\frac{7+9}{12}

\frac{4}{3}=\frac{4}{3}

Since Ratio of the corresponding sides are same, therefore, both the triangles are similar.

b). \frac{AB}{BD}=\frac{BC}{DC}

\frac{8}{BD}=\frac{12}{9}

BD = \frac{9\times 8}{12}

BD = 6

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