Question

Mr. Perkins saw an advertisement of a T.V.in the newspaper where it is mentioned that the T.V. is 16 inches high and 14 inches wide. Calculate the diagonal length of its screen for Mr. Prekins. You must show work to receive credit. Round your answer to the nearest tenth if possible

PLEASE HELP!!!

Answer 1

21.26 or 21.3 inches.

Explanation:

Think of this as a right triangle.

The height is 16 inches.

The width is 14 inches.

So, the diagonal is...

We need to use the Pythagorean Theorem to solve this.

a^2 + b^2 = c^2

Height^2 + Width^2 = Diagonal^2

16^2 + 14^2 = c^2

256 + 196 = c^2

c^2 = 452

So, c = Square root of c^2 = Square root of 452.

So, Square root of 452 = 21.26

So, the diagonal = 21.26 or 21.3 inches.