The Triangle Cut Off by Two Altitudes

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Triangles

The Triangle Cut Off by Two Altitudes

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 acute △ABC,\triangle ABC, BE⊥ACBE \perp AC with EE on AC,AC, and CF⊥ABCF \perp AB with FF on AB.AB. Prove that △AEB∼△AFC,\triangle AEB \sim \triangle AFC, and hence prove that △AEF∼△ABC.\triangle AEF \sim \triangle ABC.
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Step 1 · Your move

To prove that △AEF∼△ABC,\triangle AEF \sim \triangle ABC, we first compare the right triangles containing ∠A\angle A: △AEB\triangle AEB and △AFC.\triangle AFC. Which test shows that △AEB∼△AFC\triangle AEB \sim \triangle AFC?

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