Correct Answer - Option 1 : 21 cm
Similar Triangles: Two triangles are said to be similar if their corresponding sides are in equal ratio, or it can also be said that their corresponding angles are equal.
Concept: If ΔXYZ and ΔDEF are similar, then
\(XY\over DE\) = \(YZ\over EF\) = \(XZ\over DF\)
Calculation:
Given: ΔXYZ ~ ΔDEF
XY = 10 cm
YZ = 14 cm
DE = 15 cm
Using the above concept, we get
\(10\over 15\) = \(14\over EF\)
10EF = 15 × 14
EF = \(15 \times 14 \over 10\) = 21 cm
Hence, we conclude that EF = 21 cm.
