A) Isosceles triangle
B) Equilateral triangle
C) Scalene right - angled triangle
D) Right - angled isosceles triangle
Correct Answer: B
Solution :
(b): This is again an excellent test of mind for the students: From given data, \[\Delta ABC\cong \Delta CDE\] \[\Rightarrow \,\,AC=EC\,\,\,\Rightarrow \,\,\,\,\angle p=\angle q\] \[\angle y=\angle m;\,\,\,\angle x=180{}^\circ -60{}^\circ -m=120{}^\circ -m\] At point C: \[\angle ACE=180{}^\circ -x-y\] \[=180{}^\circ -(120-m)-m=60{}^\circ \] Also \[\angle ACE=180{}^\circ -\angle p-\angle q=180{}^\circ -2\angle p=60{}^\circ \] \[\Rightarrow \angle p=\angle q=60{}^\circ \Rightarrow \Delta \,\,\Alpha CE\] is equilateral \[\Delta \,\,le\].You need to login to perform this action.
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