Question

A kite has an area of 34 squared cm and one diagonal of 17 cm. What is the length of the other diagonal?

Answer 1

4 cm., it would be hard to fly that kite.

Explanation:

Formula for the area of a kite (which is a rhombus) is:

`A_"rhombus" = 1/2 d_1*d_2`

So in your case you have:

`34=1/2*17*d_2`

`34=8.5*d_2`

`4=d_2`

Answer 2

`4" cm"`

Explanation:

`"the area (A) of a kite is equal to half the product of"`
`"the diagonals"`

`•color(white)(x)A=1/2xxd_1xxd_2`

`"where "d_1" and "d_2" are the 2 diagonals"`

`"let "d_1=17" we have to find "d_2`

`"substitute known values into the formula"`

`34=1/2xx17xxd_2`

`"multiply through by 2"`

`68=17d_2`

`"divide both sides by 17"`

`68/17=d_2rArrd_2=4`

`"the length of the other diagonal "=4" cm"`