Maths-

General

Easy

Question

# A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from the house, how tall is the ladder? Please draw a diagram and show all work.

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: Hence, the length of ladder is 10.44 m.

** **

Here, Length of perpendicular(h) = Length of house = 10 m

Length of base(b) = 3 m

Let’s say that the length of ladder is d.

Using Pythagoras theorem

d^{2} = h^{2} + b^{2}

d^{2} = 10^{2} + 3^{2}

d^{2} = 109

d^{2} = 109

Final Answer:

Hence, the length of ladder is 10.44 m.

Here, Length of perpendicular(h) = Length of house = 10 m

Length of base(b) = 3 m

Let’s say that the length of ladder is d.

Using Pythagoras theorem

d

^{2}= h

^{2}+ b

^{2}

d

^{2}= 10

^{2}+ 3

^{2}

d

^{2}= 109

d

^{2}= 109

Final Answer:

Hence, the length of ladder is 10.44 m.

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