Question

Question 1
Construct the Quadrilateral DEAR where
DE=4cm, EA=5cm, AR=4.5cm, $\angle E={60}^{\circ },\angle A={90}^{\circ }$

Answer 1

Given DE=4cm, EA=5cm, AR=4.5cm, $\angle E={60}^{\circ },\angle A={90}^{\circ }$

To construct: A quadrilateral DEAR.

Steps of construction:

(a) Draw a line segment DE=4cm.

(b) At point E, construct an angle of ${60}^{\circ }$

(c) Taking radius 5 cm, draw an arc from point E which intersects at A.

(d) Construct $\angle A={90}^{\circ }$, draw an arc of radius 4.5 cm with centre A which intersects at R.

(e) Join RD.

It is the required quadrilateral DEAR.