SOLUTION: A 20 in (on the diagonal) TV has a width of 16 in. What is the height?

Question 218124: A 20 in (on the diagonal) TV has a width of 16 in. What is the height?
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
A 20 in (on the diagonal) TV has a width of 16 in. What is the height?

Step 1. We can use the Pythagorean Theorem to solve this problem where the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse (the diagonal in this case). We also note that the diagonal of a rectangle divides into two right triangles.

Step 2. Let w=16 be the width and h be the height.

Step 3. Using the Pythagorean Theorem we have

Subtract 196 to both sides of the equation

Take the square root to both sides of the equation

inches

Step 4. ANSWER: The height is 14.28 inches.

I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J

http://www.FreedomUniversity.TV

Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!
A 20 in (on the diagonal) TV has a width of 16 in. What is the height?

Using Pythagorean formula, to find the height, and using H for height, we get:

Therefore, H or height =
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