# D is a point on the side BC of a triangle ABC such that ∠ ADC = ∠ BAC. Show that CA2 = CB.CD To Prove : CA2 = CB . CD

Proof: Now In ΔADC and ΔBAC,

ACD = BCA (Common angle)

According to AA similarity, if two corresponding angles of two triangles are equal then the triangles are similar

ΔADC ΔBAC (By AA similarity)

We know that corresponding sides of similar triangles are in proportion  Hence Proved

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