Math <span title="help????..................?">help????....................</span>

Question

Clio owns a rectangular screen television that is 28 inches wide. The diagonal picture rating of the television is 35 inches across the screen. What is the height (in inches) of the television screen?

Answer 1

Use a calculator and find the square root of 35^2 - 28^2  

Answer 2

use a^2 + b^2 = c^2 where c is the diagonal and a is the width, solve for b

28(28) + b^2 = 35(35)

784 + b^2 = 1225

b^2 = 441

b= sq rt 441 = 21

Answer 3

Okay, so the screen is 28 inches wide across the bottom and the diagonal picture rating is 35 inches.

So for this problem you&#039;d use the Pythagorean Theorem which states the a^2 + b^2 = c^2, where c is the longest side across from the right angle that is the connection of the two shorter sides (hypotenuse).

So 28 (a)^2 = 784 and 35 (c)^2 = 1225.

c^2 - a^2 = b^2, so b^2 = 1225 - 784

So now that we know that b^2 = 441, we take the square root of that and come to the conclusion that b (the height of the screen) is equal to 21.

Answer 4

Use Pythagorean Theorem

a²+b² = c²

28² + b² = 35²

b² = 35² - 28²

b² = 441

b=21 inches