Q. 85.0( 1 Vote )

# In ΔABC, and B-X-C. A line passing through X and parallel to intersects in Y. A line passing through X and parallel to intersects in Z. Prove that CY2 = AC • CZ.

Given, In ABC, and B-X-C. A line passing through X and parallel to intersects in Y. A line passing through X and parallel to intersects in Z as shown in figure.

To prove : CY2 = AC × CZ

Proof : In ∆ABC, XY || AB

...... (i)

In ∆YBC, XZ || BY

...... (ii)

From eq (i) and (ii)

CY2 = AC × CZ

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