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You are building an entertainment center for a television. You need to
know the width, height, and diagonal of the
television. The width of the television is 36 inches. The length of the
diagonal of the television is 45 inches. Determine the
height of the television.


Sagot :

This question is about Pythagorean theorem, a square + b square = c square
Where a and b represents either leg of the triangle (width or height), and c represents the hypotenuse (the diagonal)
Let height = h
For the question above, the equation will be
36 square + h square = 45 square
Subtract 36 square from both sides
36 square - 36 square + h square= 45 square - 36 square
h square = 2025 - 1296
h square = 729
Find the square root of both sides
Square root of h square = square root of 729
h = 27
The height of the television is 27