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Question
There is a staircase as shown in the given figure, connecting points A and B. Measurements of steps are marked in the figure. Find the straight line distance between A and B.
Solution
We are given the following figure with the related information
In the above figure complete the triangle ABC with right angled at C
So
AC = 2 + 2 + 2 + 2 = 8 and
BC = 1 + 1.6 + 1.6 + 1.8 = 6
Using Pythagoras theorem for triangle ABC to find
`AB^2=AC^2+BC^2`
`=8^2+6^2`
`=100`
`⇒ AB=10`
Hence the distance between A and B is 10 cm.
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