Question
Download Solution PDFΔABC and ΔDEF are similar triangles and their areas are 49 cm2 and 144 cm2 respectively. If EF = 16.80 cm, then find BC.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
ΔABC and ΔDEF are similar triangles and their areas are 49 cm2 and 144 cm2 respectively.
EF = 16.80 cm
Concept used:
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
Calculation:
Since ΔABC and ΔDEF are similar triangles,
⇒
⇒
⇒ BC = 7/12 × 16.80
⇒ BC = 9.8
∴ The length of BC is 9.8 cm.
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