Question

Suppose Marcy's rectangular laptop measures 12 inches by 9 inches. Find the diagonal measurement from corner A to corner B.

Answer 1

The diagonal measures 15 inches

Explanation:

The diagonal of the Marcy's rectangular laptop forms a right angle triangle with its width and length.

We can use the Pythagoras Theorem to write the following equation,

`|AB|^2=12^2+9^2`

This implies that,

`|AB|^2=144+81`

We simplify the right hand side to obtain,

`|AB|^2=225`

We take the positive square root of both sides to obtain,

`|AB|=√(225)`

`|AB|=15inches`

Hence the diagonal of Marcy's laptop measures 15 inches.

Answer 2

the diagonal measurement from corner A to corner B=15 inches

Explanation:

as we know that the loptop has the shape of a rectangle that means all it's angles are right angles. so we can use the pythogoras theorem to find out the diagonal of the rectangle.

let us denote the diagonal of rectangle by D and the sides of rectangle be denoted by X=12 and Y=9

so by using pythogoras theorem we have,

`D^(2) =X^(2) +Y^(2)`

`D^(2)`=225

D=15

Hence the diagonal measurement from corner A to corner B is 15 inches.