Page 242 - Start Up Mathematics_8 (Non CCE)

2. Draw the perpendicular bisector of DE
intersecting it at O.

D 6.5 cm O E

1
3. Taking O as centre and radius = BN B
1 2
( × 5.6 = 2.8 cm) draw two arcs on
2 2.8 cm
the perpendicular bisector (above and
below line DE respectively) intersecting D 6.5 cm O E
it at point B and N respectively. Join BD, 2.8 cm
BE, ND and NE.

Hence, BEND is the required rhombus.
N

EXERCISE 15.2

1. Construct a quadrilateral RUBY in which RU = 5.5 cm, UB = 2.6 cm, BY = 4.2 cm, diagonal
RB = 6.8 cm and diagonal UY = 5.2 cm.
2. Construct a quadrilateral SWIM in which WI = 6.5 cm, SI = SM = 5 cm, IM = 4 cm and
WM = 9 cm. Measure the fourth side.
3. Construct a quadrilateral MORE in which ME = 4.5 cm, OR = 3.5 cm, RE = 5.1 cm, MR = 8.3 cm
and OE = 4.2 cm.
4. Construct a rhombus SURF in which diagonal SR = 4.8 cm and diagonal FU = 5.4 cm. Find the side
of the rhombus.
5. Construct a rhombus DIRT in which diagonal DR = 3.6 cm and diagonal TI = 4.5 cm.
6. Is it possible to construct a quadrilateral MIST in which MI = 3.5 cm, ST = 3.5 cm, TM = 7.9 cm,
MS = 8.4 cm and IT = 4.5 cm? Give reasons for your answer.

Construction of Quadrilateral Given Its Four Sides and One Angle
Example 6: Construct a quadrilateral MILE in which MI = 3 cm, IL = 3.3 cm, LE = 2.8 cm, EM = 3.5 cm
and –M = 70º.
Solution: Construction: Draw a rough sketch of the figure to be constructed.
E 2.8 cm

L
Steps of Construction:
1. Draw a line MI = 3 cm. 3.5 cm 3.3 cm
70º
M 3 cm I M 3 cm I

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