Maths-
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Question

A ladder 20 m long rests against a vertical wall. If the foot of the ladder is 12 m away from the base of the wall, the height of the point on the wall where the top of the ladder reaches is ……..

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 height of the point on the wall where the top of the ladder reaches is 16 m.


    Here, Length of base(b) = 12 m
    Length of hypotenuse(d) = 20 m
    Let’s say that the height of the wall is given as h
    Using Pythagoras theorem

    d2 = h2 + b2

    202 = h2 + 12

    h2 = 202 - 122

    d = square root of 256 = 16 m
    Final Answer:
    Hence, the height of the point on the wall where the top of the ladder reaches is 16 m.

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