Maths-
General
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Question

In a computer catalogue, a computer monitor is listed as being 27 cm. This distance is the diagonal distance across the screen. If the screen measures 15 cm in height, what is the actual width of the screen to the nearest inch?

hintHint:

Pythagoras' theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
If a is the perpendicular, b is the base, and c is the hypotenuse, then according to the definition, the Pythagoras Theorem formula is given as
c2= a2 + b2
 

The correct answer is: the width of the screen is 9 inches.


    Here, Length of height(h) = 15 cm
    Length of hypotenuse(d) = 27 cm
    Let’s say that the width of the screen is b
    Using Pythagoras theorem

    d2 = h2 + b2

    272 = 152 + b2

    b2 = 272 - 152

    d = square root of 504 = 22.45 cm almost equal to 9 inch
    Final Answer:
    Hence, the width of the screen is 9 inches.

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