Question

Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal. ​

Answer 1

Answer:

find Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

Answer 2

Answer$:\pink\implies$ We have

• side = 6cm
• height = 4cm

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Area of a parallelogram $:\pink\→$ base × height

$⇒ 6 × 4$

$⇒24 \: {cm}^{2}$

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Area of a rhombus $= \frac{1}{2} \times {d}^{1} \times {d}^{2}$

$⇒24 = \frac{1}{2 } \times 8 \times {d}^{2}$

$⇒ {d}^{2} = \frac{24 \times 2}{8}$

$⇒ {d}^{2} = 6$

Hence,other length is 6cm.