Answer:
20 inches
Step-by-step explanation:
From the question, diagonal of the television screen is given to be 25 inch and the width of the television set is given to be 15 inches and we are asked to find the height of the screen.
We can solve this question using the Pythagoras theorem.
The Pythagoras theorem states that in a right-angle triangle;
opposite² + adjacent² = hypotenuse²
From the question, the width is given to be 15 inches, the with is our adjacent. Also the diagonal is given to be 25 inches, the diagonal is our hypotenuse. And we were ask to find the height, the height is our opposite.
so;
opposite = ?
adjacent = 15
hypotenuse = 25
Let opposite = x
we can now substitute into our theorem;
opposite² + adjacent² = hypotenuse²
x² + 15² = 25²
x² = 25² - 15²
x² = 625 - 225
x² = 400
x = √400
x = 20
opposite = 20 inches
Since opposite is the height of the screen, then the height of the screen is 20 inches.
Therefore the height of the screen is 20 inches.
