Television screens are measured along the diagonal. a certain 53 inch television is 45 inches wide. how tall is the television?

Because the television forms a right angle where the bottom meets the side, we can use the Pythagorean Theorum to calculate the diagonal. The Pythagorean Theorum states:

a² + b² = c²

In this case, let “a” represent the width, “b” represent the height, and “c” represent the diagonal. Substitute any known values into the equation above:

45² + b² = 53²

Simplify the right and left sides of the equation:

2025 + b² = 2809

Subtract 2025 from both sides of the equation:

b² = 784

Take the square root of both sides:

√b² = √784

Simplify both sides of the equation:

b = 28

The height of the television is 28 inches.

I hope this helps!

56

Step-by-step explanation:

Let Davids's age = d

Let Marie's age = m

First part of the question tells us: d=4+(3m)

Second part of the question tells us: d=m+38

Sub in 'm+38' for d:

m+38=4+3m

3m-m=38-4

2m=36

m=18

d=m+38

=18+38

=56