Question
The height of a shed is 6m. A ladder leans against the shed with its base 4.5 m away, and its top just reaching the roof. What is the length of the ladder?
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 length of the ladder is 7.5 m
Here, Length of perpendicular(a) = Height of shed = 6 m
Length of base(b) = 4.5 m
Let’s say that the length of the ladder is d
Using Pythagoras theorem
d2 = a2 + b2
d2 = 62 + 4.52
d2 = 56.25
d = 
m = 7.5 m
Final Answer:
Hence, the length of the ladder is 7.5 m.
m = 7.5 mFinal Answer:
Hence, the length of the ladder is 7.5 m.
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