Question
A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?
Hint:
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 wall is 2 m
Here, Length of base(b) = 1.5 m
Length of hypotenuse(d) = 2.5 m
Let’s say that the height of the wall is given as h
Using Pythagoras theorem
d2 = h2 + b2
2.52 = h2 + 1.52
h2 = 2.52 - 1.52
d = 
= 2 m
Final Answer:
Hence, the height of the wall is 2 m.
= 2 mFinal Answer:
Hence, the height of the wall is 2 m.
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