Question

The diagonal length of a laptop computer screen is advertised as 40cm and the width of the screen is 23cm, what is the length of the laptop computer screen

Answer 1

Answer:

As you can see, we can solve the missing side of a right triangle using

a

2

+

b

2

=

c

2

if we have the measurements of the other two sides.

In our problem, we have a diagonal (hypotenuse) of

14

inches. We also know that the height is

9

inches.

In the Pythagorean Theorem, that means we have

a

and

c

.

So let's plug them into the formula:

9

2

+

b

2

=

14

2

Simplify by squaring:

81

+

b

2

=

196

Subtract

81

from both sides of the equation:

81

+

b

2

−

81

=

196

−

81

b

2

=

115

Square root both sides:

√

b

2

=

√

115

b

=

√

115

or about

10.724

(rounded to nearest thousandth's place)

Therefore, the width of the monitor screen is

√

115

inches or about

10.724

inches (rounded to the nearest thousandth's place).