Answer:
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 t
all is the TV?
2 answers:
Answer:
The TV is 12 inches tall.
Step-by-step explanation:
<em><u>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?</u></em>
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.
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