Answer:
The TV is 12 inches tall.
Step-by-step explanation:
A certain television is advertised as a 20-inch TV (the diagonal length). If the width of the TV is 16 inches, how many inches tall is the TV?
To find how many inches tall the TV is, we will simply use pythagoras theorem to find it.
Pythagoras theorem states that, in a right-angle triangle;
opposite² + adjacent² = hypotenuse²
From the question given and from the diagram below,
hypotenuse = 20
adjacent = 16
Then let opposite which is the height of the TV = x
Using pythagoras theorem to solve this problem;
opposite² + adjacent² = hypotenuse²
x² + 16² = 20²
x² + 256 = 400
Subtract 256 from both-side of the equation
x² + 256 - 256 = 400 - 256
x² = 144
Take the square root of both-side of the equation
√x² = √144
x = 12
Therefore, the TV is 12 inches tall.
