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Mathematics Forum
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| Author | Message / Information |
| oopsie Quote | Reply | | QUadrilaterals posted on: 6/22/2005 6:35:26 PM 1) Let ABCD be a parallelogram. Let P and Q be points on the side BC such that AB = BP, P is between B and Q and angle BPA + angle BQA + angle BCA = angle BAD. If AP =BQsqrt2, prove that PQ = QC. 2) P and Q are points on the side BC of a quadrilateral ABCD such that P is between B and Q, and BP = PQ = QC. S and T are points on the side AD of ABCD such that S is between A and T, and AS = ST = TD. Both AC and BD lie inside ABCD. Prove that the area of ABCD is three times the area of the quadrilateral PQTS. |
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