Maths-
General
Easy

Question

Televisions are advertised by the length of their diagonals. If a 42-inch television measures 18 inches high, how wide is the television?

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 38 inches


    Here, Length of height(h) = 18 inches
    Length of hypotenuse(d) = 42 inches
    Let’s say that the width of the screen is b
    Using Pythagoras theorem

    d2 = h2 + b2

    422 = 182 + b2

    b2 = 422 - 182

    d = square root of 1440 =12 square root of 10 inches  38 inches
    Final Answer:
    Hence, the width of the screen is 38 inches.

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