Question

The ara of rhombus is 84 cm2 and one diagonal is 12 cm find the other diagonal of the rhombus

Answer 1

Given:

• The area of rhombus is 84 cm².

• one diagonal (d1) is 12 cm.

To find out:

find the other diagonal of the rhombus.

Formula used:

Area of rhombus = ½ × Product of diagonals

Solution:

Let the other diagonal be d2.

✪According to question:-

Area of rhombus = ½ × Product of diagonals

→ 84 = ½ × d1 × d2

→ 84 = ½ × 12 × d2

→ 84 = 6 × d2

→ d2 = 84/6

→ d2 = 14 cm

Hence, the other diagonal of the rhombus is 14 cm.

Extra information:

Polygon: A simple closed plane figure formed by line segment is called a polygon.

• The line segment are called sides.

• Each end point of a side is called vertex of the polygon.

Answer 2

↪Question:

• The area of rhombus is $\sf {84 cm^2}$ and one diagonal is 12 cm, find the other diagonal of the rhombus.

↪Solution :-

Given :

• Area of the rhombus = $\sf {84 cm^2}$
• One diagonal of the rhombus = 12 cm

To Find :

• The other diagonal of the rhombus.

$\boxed {\tt {Area \:of\:a\:rhombus = \dfrac{1}{2} \times Product \:of\:its\:diagonals. }}$

Let the other diagonal be x cm.

$\sf{ :\implies {Area = \dfrac{1}{2} \times Product \:of\:its\:diagonals }} \\ \\ \sf{:\implies {84 =\dfrac{1}{2} \times 12 \times x}} \\ \\ \sf{:\implies {84 = 6x}} \\ \\ \sf{:\implies {\dfrac{84}{6} = x}}\\ \\ \sf{:\implies {14 = x}} \\ \\ \sf{:\implies{ x=14}}$

$\bf {\therefore{The \:other\: diagonal\:is\:14\:cm.}}$