Forum

Construction

Draw an isosceles triangle ABC in which AB = AC = 6 cm and BC = 5 cm. Construct a triangle PQR similar to  ∆ ABC in which PQ = 8 cm. Also justify the construction.

08/11/2024

Mathematics

10th

Construction

Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on outer circle  construct  the  pair  of  tangents  to  the  other.  Measure  the  length  of  a tangent and verify it by actual calculation.

08/11/2024

Mathematics

10th

Construction

Draw  a  parallelogram  ABCD  in  which  BC  =  5  cm,  AB  =  3  cm  and ∠ABC  =  60°,  divide  it  into  triangles  BCD  and ABD  by  the  diagonal  BD. Construct the triangle BD’ C’ similar to ∆BDC with scale factor  4/3 . Draw the  line segment D’A’ parallel to DA where A’ lies on extended side BA. Is A’BC’D’ a parallelogram?

08/11/2024

Mathematics

10th

Construction

Two line segments AB and AC include an angle of 60° where AB = 5 cm and AC  =  7  cm.  Locate  points  P  and  Q  on AB and AC,  respectively  such  that AP = 3/4 AB and AQ = 1/4 AC . Join P and Q and measure the length PQ.

08/11/2024

Mathematics

10th

Construction

Given  a  rhombus  ABCD  in  which  AB  =  4  cm  and ∠ABC = 60°, divide it into two triangles say, ABC and ADC. Construct the triangle AB’C’ similar to ∆ABC with scale factor 2/3  . Draw a line segment C’D’ parallel to CD  where D’ lies on AD. Is AB’C’D’ a rhombus? Give reasons.

08/11/2024

Mathematics

10th

Construction

Construct  a  tangent  to  a  circle  of  radius  4  cm  from  a  point  which  is  at  a distance of 6 cm from its centre.

08/11/2024

Mathematics

10th

Construction

Draw  a  triangle ABC  in  which  BC  =  6  cm,  CA  =  5  cm  and AB  =  4  cm. Construct a triangle similar to it and of scale factor 5/3. 

08/11/2024

Mathematics

10th

Construction

Draw a right triangle ABC in which BC = 12 cm, AB = 5 cm and ∠B = 90°. Construct a triangle similar to it and of scale factor 2/3 . Is the new triangle  also a right triangle? 

08/11/2024

Mathematics

10th

Construction

Draw a line segment of length 7 cm. Find a point P on it which divides it in the ratio 3:5.

08/11/2024

Mathematics

10th

Construction

Draw an equilateral triangle ABC of each side 4 cm. Construct a triangle similar to it and of scale factor 3/5 . Is the new triangle also an equilateral? 

08/11/2024

Mathematics

10th