Question

Nisha walk 15 metre west and its not to reach the opposite corner of rectangular field stop Mary walked from the same point and nearly to the opposite corner. What is the distance covered by Mary

Answer 1

Answer:

17

Step-by-step explanation:

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\huge{Given}Given

Nisha walks 15 m West and 8 m North to reach the opposite corner of a rectangular field. Mary walked from the same point diagonally to the opposite corner.

\huge{To\: Find}ToFind

Distance covered by Mary.

\huge{Solution}Solution

Firstly, let ABCD be the required rectangle.

Then, Nisha moves from A to B - 15 m and then B to C - 8 m

And, Mary walks from A to C. Then we have to find the distance between A and C.

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Now,

All the angles of a rectangle are 90°

=> angles A = B = C = D = 90°

Hence, in the fig.,

AB = 15 m

BC = 8 m

Angle B = 90°

Now, side opposite to 90° is called the hypotenuse

Hence, AC is the hypotenuse

That makes a right angled triangle ABC at angle B.

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Now, we use the Pythagoras' Theorem; which states that in a right angled triangle, the square of the hypotenuse is equal to the sum of square of other two sides, to solve the question.

AC² = AB² + BC²

=> AC² = 15² + 8²

=> AC² = 225 + 64

=> AC² = 289

=> AC = √289

=> AC = 17 m

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Hope it helped you