Question:
In triangle XYZ, a line is drawn parallel to YZ intersecting XZ at A and XY at B. If XA = 2 cm, AZ = 6 cm, and XB = 3 cm, find BY .
त्रिभुज XYZ में, YZ के समानांतर एक रेखा खींची जाती है जो XZ को A पर और XY को B पर काटती है। यदि XA = 2 cm, AZ = 6 cm, और XB = 3 cm है, तो BY ज्ञात कीजिए।
Options:
- a) 7 cm
- b) 19 cm
- c) 9 cm
- d) 6 cm
- a) 7 cm
- b) 19 cm
- c) 9 cm
- d) 6 cm
correct answer : c)
Explanation:
By Thales Theorem, XA/AZ = XB/BY => 2/6 = 3/BY => BY = 9 cm.
थेल्स प्रमेय के अनुसार, XA/AZ = XB/BY => 2/6 = 3/BY => BY = 9 cm.