Exercise - 23
- Construct a triangle ABC in which BC = 5cm, and the altitude drawn from A on BC is of length 3,5cm.Construct a triangle ABC in which BC = 7cm, and attitude through A is 3.7cm. How many such triangles are possible.Construct a triangle ABC in which BC = 4cm, and altitude through A is 3cm. Also write the steps of construction.Construction a triangle ABC with AB = 4.4cm, and the median through C is of length 3.2cm. Also, find the length of the altitude drawn from the vertex C on AB.Construct a triangle ABC in which BC = 6cm, and the median through A is 5,5cm. Find the length of altitude drawn on BC from A. Write the steps of construction.Construct a triangle ABC in which BC = 6cm, and median AD = 4.5cm.Construct a triangle ABC in which BC = 6cm, and the altitude through A is 4.5cm. Measure the length of median through A.Construct a triangle ABC in which BC = 6.4cm, and median AD = 5cm. How many such triangles are possible?Construct a triangle ABC in which BC = 6cm, and the median from A on BC = 5cm. How many such triangles are possible?Construct a triangle ABC similar to a give triangle PQR with QR = 6cm, PQ = PR = 5cm. Such that each of its side is 6/7th of the corresponding sides of the triangle PQR. Also draw the circumcircle of triangle ABC.Construct a triangle ABC in which AB = 5cm, and altitude CD = 3cm. Construct a triangle AQR similar to triangle ABC such that each side of triangle AQR is 1.5 times that of the corresponding side of triangle ABC.Construct a triangle ABC with BC = 6cm, and median AD through A is 5cm long. Construct a triangle A’BC’ similar to triangle ABC with BC = 8cm.Construct a triangle ABC in which BC = 6.5cm, m and median through A is 4.5cm construct a triangle A’BC’ similar to triangle ABC with BC = 8cm.Construct a quadrilateral ABCD in which AB = 3cm, AD2.7cm, DB = 3.6cm, and BC = 4.2cm. Construct a quadrilateral A’BC’ D’ similar to quadrilateral ABCD is which diagonal D’B is of length 4.5cmDraw any quadrilateral ABCD. Construct another quadrilateral AB’C’D’ similar to the each side equal to 4/5th of the corresponding side of quadrilateral ABCD.Construct a cyclic quadrilateral ABCD where AB = 3cm, BC = 6cm, CA = 4cm. and AD = 2cm, Also construct a quadrilateral similar to ABCD whose sides are 1.5 times the corresponding sides of ABCD.Draw a line segment of length 10cm and divide it (i) internally and (ii) externally in the ration 3 : 4.
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