In the triangle ABC, D is a point on the edge of BC, e is a point on the edge of AC, and satisfies ad = AB, angle ade = angle C 1. Prove the angle Dec = angle B 2 prove the square of AB = aexac

In the triangle ABC, D is a point on the edge of BC, e is a point on the edge of AC, and satisfies ad = AB, angle ade = angle C 1. Prove the angle Dec = angle B 2 prove the square of AB = aexac

In △ ADC and △ AED, because ∠ ade = ∠ C, ∠ DAE = ∠ CAD, so △ ADC and △ AED are similar, so ∠ AED = ∠ ADC, because ad = AB, so, ∠ B = ∠ ADB, because, ∠ Dec = 180 - ∠ AED = 180 - ∠ ADC = ∠ ADB, so, ∠ Dec = ∠ B (2) because, △ ADC and △ AED are similar, so, AE: ad = ad: AC