Question
Download Solution PDFIn the figure, ∠BAC = ∠BCD, AB = 32 cm and BD = 18 cm then Find the length of side BC.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGIVEN:
∠BAC = ∠BCD, AB = 32 cm and BD = 18 cm
CONCEPT:
If two triangles are similar, the ratio of respective sides will be equal.
CALCULATION:
In triangle ABC and CBD;
∠BAC = ∠BCD
∠B is common
Hence, triangles ABC and CBD are similar by AA similarity.
∴ AB/CB = BC/BD
⇒ BC2 = 32 × 18 = 576
∴ BC is 24 cm
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