Question

A television is identified by the diagonal measurement of the of screen. A television has a 36 inch screen whose height is 22 inches.what is the length of the television screen

Answer 1

Answer:

28.5 inches.

Step-by-step explanation:

Given: Measurement of diagonal= 36 inch.

           Height= 22 inches

Picture attached to show the measurement.

As the screen of televison is measured by diagonal of screen.

∴ Hypotenous= diagonal of screen, which is 36 inches.

Now, using pythagorean theoram to find length of television screen.

$hypotenous^{2} = opposite^{2}+adjacent^{2}$

∴ $36^{2} = 22^{2} + adjacent^{2}$

Here adjacent is the length of television.

⇒$1296= 484+ length^{2}$

Subtracting both side by 484.

⇒$length^{2} = 812$

Taking square root on both side

remember: $\sqrt{a^{2} } = a$

∴ $length= \sqrt{812}= 28.495 \approx 28.5$

Hence, length of televison screen is 28.5 inches.