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Ch05 Theorems Related to Triangles - NETPass

4. In the figure, AB = DC, ∠BAC = ∠CDB = 90o, AC and BD cuts at E. AE = 2 and EC = 4. (a) Prove that ∆BAC ≅ ∆CDB. Hence, find the length of BD. (b) Prove that ∆ABD ≅ ∆DCA. Hence, prove that ∆ADE is an isosceles triangle. (c) Find the length of AB.

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