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The width of a rectangular TV screen is 14.5 cm more than the height.
If the diagonal is 68.6 cm, find the dimensions of the screen.
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Let x be the height measure in centimeters.
Then the width measure is (x + 14.5), in accordance with the condition.
The diagonal is (Pythagorean theorem)
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According with the condition, the diagonal measure is 68.6 cm.
It gives you an equation
= .
Simplify it:
= ,
= .
Apply the quadratic formula. You will get
= = = .
The positive root (which only suits the condition) is 40.71.
The height of the screen is 40.71 cm.
The width is 40.71 + 14.5 = 55.21 cm.