Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A rectangular field is m long and m wide. Amit walks from one corner to the opposite corner along the diagonal. Meena walks along the two sides to the same corner. How much further does Meena walk?
Pythagoras theorem: in a right triangle with the right angle at B, . The converse: if , the angle at B is a right angle. To find a hypotenuse, add the squares of the legs. To find a leg, subtract the square of the known leg from the square of the hypotenuse.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The diagonal. , so m.
Step 2. Meena's walk. m.
Step 3. The difference. m.
Answer: the diagonal is m, and Meena walks m further.
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