Question

24. A computer system is advertised with a 14-inch monitor. The measurement of the monitor is along the diagonal of the screen. The height of the monitor screen is 9 inches. What is the width of the monitor screen?

Answer 1

Explanation:

10.724

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

a2+b2=c2

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:

92+b2=142

Simplify by squaring:

81+b2=196

Subtract

81

from both sides of the equation:

81+b2−81=196−81b2=115

Square root both sides:

√b2=√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).

Hope this helps!