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##### 5. (Ambiguous Case) Construct a \triangle \mathrm{ABC} in which(i) \mathrm{m} \overline{\mathrm{AC}}=4.2 \mathrm{~cm} \mathrm{~m} \overline{\mathrm{AB}}=5.2 \mathrm{~cm} \mathrm{~m} \angle \mathrm{B}=45^{\circ} ( two \Delta \mathrm{s})

4. Construct the following \Delta \mathrm{s} \mathrm{XYZ} . Draw their three medians and show that they. are concurrent.(ii) \mathrm{m} \overline{\mathrm{XY}}=4.5 \mathrm{~cm} \mathrm{mYZ}=3.4 \mathrm{~cm} and \mathrm{mZX}=5.6 \mathrm{~cm}

4. Construct a right-angled triangle equal in area to a given square.

4. Construct the following \Delta \mathrm{s} \mathrm{XYZ} . Draw their three medians and show that they. are concurrent.(iii) \mathrm{m} \overline{\mathrm{ZX}}=4.3 \mathrm{~cm}

5. (Ambiguous Case) Construct a \triangle \mathrm{ABC} in which(ii) \mathrm{m} \overline{\mathrm{BC}}=2.5 \mathrm{~cm} \mathrm{~m} \overline{\mathrm{AB}}=5.0 \mathrm{~cm} \mathrm{~m} \angle \mathrm{A}=30^{\circ} (one \Delta )

1. Construct a \Delta with sides 4 \mathrm{~cm} 5 \mathrm{~cm} and 6 \mathrm{~cm} and construct a rectangle having its area equal to that of the \Delta . Measure its diagonals. Are they equal?

(viii) The medians of a triangle cut each other in the ratio \ldots \ldots (a) 4: 1 (b) 3: 1 (c) 2: 1 (d) 1: 1