Question

The area of a rhombus is 84 cm2 and one of its diagonal is 12 cm. Find the length of the other diagnol
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Answer 1

Step-by-step explanation:

area of rhombus =1/2.×d1×d2

1/2×12×d2=84

so length ok second diagonal is14cm

Answer 2

AnswEr:

length of Another Diagonal is 14 cm.

Step by Step Explanation:-

$\bold{\underline{\sf{\red{\;\;Given:-\;\;}}}}$

$\bullet$ Area of Rhombus = 84 cm².

$\bullet$ And One Diagonal = 12 cm.

$\bold{\underline{\sf{\red{\;\;To\; Find:-\;\;}}}}$

Other Diagonal of The Rhombus.

$\rule{150}3$

Let the another Diagonal be x.

$\bold{\underline{\sf{We \; know\; that\; :-}}}$

$\large{\underline{\boxed{\sf{\pink{Area \; of \; Rhombus\; = \dfrac{1}{2} \times d_1 \times\; d_2 }}}}}$

Given - d1 = 12cm & Area = 84 cm².

Now,

$\longrightarrow\sf\; 84 cm^2 = \dfrac{1}{2} \times\; 12 \times \; x$

$\longrightarrow\sf\; 84 = 6x$

$\longrightarrow\sf\; x = \dfrac{84}{6}$

$\longrightarrow\large{\underline{\boxed{\sf{\pink{x = 14 cm}}}}}$

$\bold{\underline{\sf{\red{\red{length \; of \; the\; other \; Diagonal\; is \; 14\; cm.}}}}}$

$\rule{150}3$