Question

Construct a quadrilateral READ, given that
RD=5 cm, AD=7 cm, R=125°, E = 105°,
A=100​

Answer 1

Answer:

EXERCISE : 4.5

              Draw the following:

1.  The square READ with RE = 5.1 cm.

               

Sol.   Draw a rough sketch of the required square and write down its dimensions.            Steps of construction:            1.   Draw RE = 5.1 cm

               

           2.   Draw RX ⊥ RE.            3.   With R as centre and radius 5.1 cm, draw an arc to cut RX at D.            4.   With D as centre and radius 5.1 cm, draw an arc.            5.   With E as centre and radius 5.1 cm, draw another arc cutting the previous arc at A.            6.   Join DA and EA.            Then READ is the required square.

2.  A rhombus whose diagonals are 5.2 cm and 6.4 cm long.

Sol.   Let diagonal AC = 5.2 cm and diagonal BD = 6.4 cm

               

              Draw AC = 5.2 cm. Draw XY, the perpendicular bisector of AC which cuts AC at O.               With O a centre, draw arcs of radii

                             which cut OX at D and OY at B.               Join AB, BC, CD and DA.               Then, ABCD is the required rhomb

Step-by-step explanation: