## Chapter 8 Quadratic Equations R.D. Sharma Solutions for Class 10th Math Exercise 8.10

1. The hypotenuse of a right triangle is 25 cm. The difference between the lengths of the other two sides of the triangle is 5 cm. Find the lengths of these sides.**Solution**

2. The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

**Solution**

3. The hypotenuse of a right triangle is 3âˆš10 cm. If the smaller leg is tripled and the longer leg doubled, new hypotenuse will be 9âˆš5 cm. How long are the legs of the triangle?

**Solution**

4. 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 difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected ?

**Solution**