Angle of triangle

2012-03-16 2:10 am
ABC is a right - angled triangle with angle B = 90 degree and BC > AB. D is a point on AC such that AB = BD. E is another point on AC such that BC = EC. Find angle EBD.
更新1:

To : ☂雨後陽光☀ Please explain why angle BDE = (180 - A)/2 ? Please notice that it is AB = BD, NOT AB = AD!!

回答 (1)

2012-03-16 2:51 am
✔ 最佳答案
∠EBD + ∠BED + ∠BDE + = 180° (∠ sum of △)∠EBD + (180° - ∠C)/2 + (180° - ∠A)/2 = 180° ∠EBD - (∠A +∠C)/2 = 0∠EBD - (180° - ∠B)/2 = 0∠EBD - (180° - 90°)/2 = 0∠EBD = 45°


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