Question

construct a quadrilateral ABCD in which AB=3.5cm ,BC=4 cm ,CD=4.5cm ,DA=5 cm and BD=5.5cm. measure AC

Answer 1

$\Huge\bf{Answer:}$

Refer to the attachment!

@EmbellishedEmerald27 :)

$\Large{\boxed{\bf{AC= 6.5 cm}}}$

Answer 2

$\Huge{\underline{\boxed{\bf{\blue{Answer\::}}}}}$

Given :-

AB = 3.5 cm.

BC = 4 cm.

CD = 4.5 cm.

DA = 5 cm.

BD = 5.5 cm.

AC = ?

Solution :-

Step of constructions :-

● Draw a line AB = 3.5 cm with radius = 5 cm & centre A draw an arc.

● With radius 5.5 cm & centre B, draw an arc cutting the previous arc.

● Name the intersection as point D.

● With radius = 4 cm, and centre B, draw an arc.

● With radius = 4.5 cm & centre draw an arc cutting previous arc.

● Name the intersection point = C.

● Join OB, AC, CD, OA.

Done

$\large{\underline{\boxed{\bf{\blue{AC\::\:6.5cm}}}}}$