Heights CE and AD are drawn in an acute-angled triangle ABC. Prove that triangle ABD is similar to triangle CBE.
| September 24, 2021 | education
Triangles ABD and CBE are rectangular (CE and AD are heights according to the problem statement).
Both one and the second triangle have a common acute angle B. We get the first sign of the similarity of right-angled triangles (for an acute angle). Triangles ABD and CBE are similar, as required.
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