Question
Download Solution PDFIf areas of similar triangles ΔABC and ΔDEF are x2 cm2 and y2 cm2 respectively, and EF = a cm, then BC (in cm) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Areas of similar triangles ΔABC and ΔDEF are x2 cm2 and y2 cm2 respectively
EF = a 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:
As ΔABC ∼ ΔDEF
So, (BC/EF)2 = Area of ΔABC/Area of ΔDEF
⇒ BC2/a2 = x2/y2
⇒ BC/a = x/y
⇒ BC = ax/y
∴ BC (in cm) is
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