Question

The diagonal measure of a rectangular TV screen is 42 inches. The width of the screen is 36.6 inches.

What is the height of the screen?

Enter your answer in the box. Round to the nearest tenth.

Answer 1

Step 1: 36.6^2 + X^2 = 42^2 = 1339.56 + X^2 = 1764
Step 2: 1764 - 1339.56 = 424.44
Step 3: square root of 424.44 = 20.6.
So the height of the screen is 20.6. Hope that helps! :)

Answer 2

Height of the screen = 20.6 inches

Explanation:

The diagonal measure of a rectangular TV screen is 42 inches. The width of the screen is 36.6 inches.

The diagonal , width and height forms a right angle triangle

So we apply pythagorean theorem

Diagonal is the hypotenuse

LEt the height of the screen is 'h'

c^2= a^2 + b^2

42^2= 36.6^2 + h^2

Subtract 36.6^2 from both sides

h^2 = 424.44

Take square root on both sides

h=20.60194

Round to nearest tenth

Height of the screen = 20.6 inches