Two Crossing Lines Inside a Triangle

Triangles

Two Crossing Lines Inside a Triangle

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 4

The problem

In △ABC,\triangle ABC, DD is a point on ABAB and EE is a point on ACAC such that DE∥BC.DE \parallel BC. The segments BEBE and CDCD intersect at O.O. Prove that OD×OB=OE×OC.OD \times OB = OE \times OC.
ABCDEO

Step 1 · Your move

DE∥BCDE \parallel BC and DCDC crosses both. Which pair of angles is equal?

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