Page 240 - Start Up Mathematics_8 (Non CCE)

2. Taking P as centre and radius = 5.2 cm radius draw two arcs, one above PR and the other
below PR.

E

5.2 cm 5.2 cm
P 6.8 cm R

P R
6.8 cm
5.2 cm
5.2 cm

3. Taking R as centre and radius = 5.2 cm, draw
two arcs intersecting the arcs in step 2 at E U
and U respectively. Join PE, ER, PU and UR.

Hence, PURE is the required rhombus.

EXERCISE 15.1

1. Construct a quadrilateral MINT in which MI = 2.9 cm, IN = 2.6 cm, NT = 3.1 cm, TM = 3.3 cm and
the diagonal MN = 4.1 cm. Measure diagonal IT.
2. Construct a parallelogram WING in which WI = 5 cm, IN = 4.5 cm and diagonal WN = 7.5 cm.
Measure the length of the other diagonal.
3. Construct a kite ROSE in which RO = 4.5 cm, OS = 5.4 cm and one of the diagonals RS = 7.7 cm.
[Hint: Kite is a quadrilateral with two pairs of adjacent sides equal.]
4. Construct a rhombus MARS with MA = 5 cm and MR = 7 cm. Measure the length of the other
diagonal.
5. Is it possible to construct a quadrilateral FAST with FA = 3.5 cm, AS = 4.5 cm, ST = 6 cm,
TF = 6.5 cm and the diagonal FS = 9.5 cm? If not, give reasons.
6. Is it possible to construct a parallelogram TANG with TA = 5 cm, AN = 3 cm and the diagonal
TN = 9 cm? Give reasons for your answer.

Construction of Quadrilateral Given Its Three Sides and Two Diagonals
Example 4: Construct a quadrilateral RAIN in which RA = 6 cm, RN = 5 cm, IN = 7 cm and diagonals
RI = 7 cm and AN = 7.5 cm. N
Solution: Construction: Draw a rough sketch of the figure to be constructed.

Steps of Construction: 5 cm 7 cm

1. Draw a line RI (diagonal) = 7 cm. 7.5 cm
R 7 cm I

R 7 cm I 6 cm
A
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