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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. - Mathematics

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प्रश्न

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.

योग

उत्तर

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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अध्याय 7: Triangles - Exercise 7.8 [पृष्ठ १२७]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 7 Triangles
Exercise 7.8 | Q 26 | पृष्ठ १२७

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