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A book shelf has supports as shown in the diagram. What is the length of the wall support?

A book shelf has supports as shown in the diagram. What is the length of the wall-example-1

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Observe that the triangle has a square angle.

So the triangle is a right angled triangle, and hence the Pythagoras Theorem is applicable.


\text{Base}^2+Height^2=Hypotenuse^2

Substitute the values,


12^2+Height^2=15^2\Rightarrow Height^2=225+144\Rightarrow Height=9

Thus, the height i.e. length of the wall support is 9 inches.

User Binh Nguyen
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