Question

The area of a rhombus is 60sq.cm. One diagonal is 10cm.The other diagonal is

a)6c.m b)12c.m c)3c.m d)24c.m​

Answer 1

Question :

The area of a rhombus is 60sq.cm. One diagonal is 10cm.The other diagonal is

Answer :

$\sf\pink{Given:}$

• Area of rhombus is 60 cm² .

• One diagonal is 10 cm .

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

• Other diagonal ?

Explanation :

• let the other diagonal be "x"

Area of rhombus = $\sf{\dfrac{1}{2}\times d1\times d2}$

$\\ \longrightarrow\sf{ 60 = \dfrac{1}{2}\times 10\times x}$

$\\ \longrightarrow\sf{ 60 = 5\times x}$

$\\ \longrightarrow\sf{\dfrac{60}{5} = x}$

$\\ \longrightarrow\sf{12 = x}$

Therefore the other diagonal is 12 cm .

Answer 2

Area if rhombus =60sq cm

One diagonal=12cm

other =?

Area of rhombus =1/2×product of its diagonals

60=1/2×12×x

60=6×x

x=60/6

x=10cm

hope this will help you