Question

Ashley draws a square that has a diagonal of 15 centimeters. What is the length of one side of the square? Round your answer to the nearest tenth

Answer 1

the answer to this question is 10.6

Answer 2

Diagonal(D) of a square is given by:

`D = √(2)a`

where, a is the length of one side of the square.

As per the statement:

Ashley draws a square that has a diagonal of 15 centimeters

⇒
`D = 15 cm`

then;

`15 = √(2)a`

Squaring both sides we have;

`225 = 2a^2`

Divide both sides by 2 we have;

`112.5 = a^2`

or

`a^2 = 112.5`

⇒
`a = √(112.50)= 10.6066017`

Therefore, the length of one side of the square (Rounded to the nearest tenth) is, 10.60 cm