Math, asked by boyalapallisundarayy, 7 days ago

find the area of rhombus with diagonals 12cm and 10 cm​

Answers

Answered by jyotirmoymallick
2

Answer:

60sq. cm

Step-by-step explanation:

12cm &10 cm

area=(1/2×12×10)sq. cm=60sq. cm

Answered by TwilightShine
10

Answer :-

  • The area of the rhombus is 60 cm².

To find :-

  • The area of the rhombus.

Step-by-step explanation :-

  • Here, the length of the diagonals of a rhombus are given to us. We have to find it's area!

We know that :-

  \underline{ \boxed{\sf Area  \: of \:  a  \: rhombus = \dfrac{1}{2}  \times  {d}^{1}  \times  {d}^{2}}}

Where,

  • d¹ = Length of the first diagonal.
  • d² = Length of the second diagonal.

Here,

  • The length of the first diagonal is 12 cm.
  • The length of the second diagonal is 10 cm.

---------------------------------

Therefore,

 \rm Area  \: of \:  the \:  rhombus =  \dfrac{1}{2}  \times 12 \times 10

Multiplying 12 with 10,

 \rm Area  \: of  \: the \:  rhombus =  \dfrac{1}{2}  \times 120

Reducing the numbers,

 \rm Area  \: of  \: the \:  rhombus =  \dfrac{1}{1}  \times 60

Now let's multiply the remaining numbers since we can't reduce them anymore.

 \rm Area  \: of  \: the \:  rhombus = 1 \times 60

Multiplying 1 with 60.

  \overline{ \boxed{\rm Area  \: of \:  the \:  rhombus =  {60 \: cm}^{2}}}

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  • Hence, the area of the rhombus is 60 cm².
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