1.

Find the area of a rhombus whose side is is 5 cm and whose altitude is 4.8 if one of its diagonal is 8 cm long find the length of the other diagonal...?​

Answer»

\huge \underline{ \mathbb{SOLUTION:-}}

Given:

  • Side of the rhombus = 5cm
  • Altitude of the rhombus = 48cm
  • Length of its ONE diagonal = 8cm

Need to find:

  • Length of the other diagonal

Step by step explanation:

Area of the rhombus = side×length of the altitude

=> 5×48

=> 24 sq cm

Now,

LET the length of the other diagonal be x

As we KNOW that

Area of rhombus = half the product of its diagonals

Therefore,

\large \implies{ \frac{1}{2} \times 8 \times x = 24} \\ \large \implies{4x = 24} \\ \large \implies{x = \frac{24}{4} } \\ \large \implies{ \bold{x = <klux>6CM</klux>}}

Hence, the length of the other diagonal is 6cm.


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