Answer:
6.3 inches
Step-by-step explanation:
You need to use the Pythagorean theorem:
[tex]a^2+b^2=c^2\\[/tex]
Where, on a right triangle, a and b are the two legs of the triangle, and c is the hypotenuse, or the longest side of the triangle.
The diagonal, or the hypotenuse is 7 inches.
One of the legs of the triangle is 3 inches.
So using the formula and solving for b:
[tex]3^2+b^2=7^2\\9+b^2=49\\b^2=40\\b=\sqrt{40}\\ b=6.32456\\b = 6.3[/tex]
The height of the screen is 6.3 inches.
