Math  /  Geometry

Question42. In the following figure; AB=ACA B=A C and AB2=BD×CEA B^{2}=B D \times C E. Prove that ADBAEC\triangle \mathrm{ADB} \sim \triangle \mathrm{AEC}.

Studdy Solution
By the AA similarity criterion, if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
ADBAEC \triangle ADB \sim \triangle AEC
The triangles ADB\triangle ADB and AEC\triangle AEC are proven to be similar.

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