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Mathematics : Constructions

Short Answer Type

121. Determine the point which divides a given line segment 7cm externally in the ratio : (i) 2 : 3 (ii) 1 2.

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122. Construct an equilateral triangle ABC of side 4 cm. Construct a triangle similar to this triangle such that the sides of this triangle are 6/7th of the corresponding sides of ΔABC.

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123. Construct a traingle PQR similar to a given triangle ABC with side 6 cm such that each of its sides is 6/7th of the corresponding side of ΔPQR.

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124. Construct a triangle similar to a given triangle ABC such that each of its sides in 2/3rd of the corresponding sides of ΔABC. It is given that BC = 6 cm, ∠C = 75°.

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125. Construct a triangle ABC in which BC = 6.2 cm. ∠ A 60° and median AD = 5.5 cm.

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126. Construct a triangle ABC in which BC = 6.5 cm, ∠A = 60° and median AD = 4.5 cm.

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127. Construct a traingle ABC similar to a given triangle PQR with side 5 cm such that each of its sides is 4/5th of the corresponding sides of the ΔPQR.

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128. Construct a traingle ΔABC similar to a given isosceles ΔPQR with QR = 5, PR = PQ = 6 cm such that each of its side is 3/4th of the corresponding sides of the ΔPQR.

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129. Divide a line segment 4 cm long externally in the ratio of 3 : 5.

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130. Divide a line segment of length 8 cm in the ratio 3 : 5 internally.

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