1. The sum of the areas of two squares is 640 m². If the difference in their perimeters be 64 m, find
the sides of the two squares.
2. The hypotenuse of a right triangle is 3V10 cm. If the smaller side is tripled and the longer sides
doubled, new hypotenuse will be 915 cm. How long are the sides of the triangle?
3. A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in
such a way that the differences of its distances from two diametrically opposite fixed gates A and
B on the boundary is 7 metres. Is it possible to do so? If yes, at what distances from the two gates
should the pole be erected?
4. The sum of the areas of two squares is 468 m². If the difference of their perimeters is 24 m, find
the sides of the two squares,
5. The hypotenuse of a right triangle is 3/5 cm. If the smaller side is tripled and the longer sides
doubled, new hypotenuse will be 15 cm. How long are the sides of the triangle?
6. The hypotenuse of right-angled triangle is 6 m more than twice the shortest side. If the third side
is 2 m less than the hypotenuse, find the sides of the triangle
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