Question

6. The area of rhombous is 380cm² and one of the
diagonal
is 19 cm. Find the other diagonal?

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Answer 1

Question :

The area of rhombus is 380cm² and one of the diagonal is 19 cm. Find the other diagonal?

Answer :

$\sf\pink{Given:}$

• Area of rhombus is 380 cm².

• One of the diagonal is 19 cm .

$\sf\pinl{To\:find:}$

• other diagonal ?

Explanation :

• let the other diagonal be "d"

Area of rhombus = ½ × diagonal 1 × diagonal 2

$\longrightarrow\sf{380 = \dfrac{1}{2}\times 19\times d}$

$\longrightarrow\sf{380 = \dfrac{19}{2}\times d}$

$\longrightarrow\sf{380\times \dfrac{2}{19} = d}$

$\longrightarrow\sf{20\times 2 = d}$

$\longrightarrow\sf{40 = d}$

• Therefore the other diagonal is 40 cm .