Represent the following situations with suitable mathematical equations.
The hypotenuse of a right triangle is 25 cm. We know that the difference in lengths of the other two sides is 5 cm. We would like to find out the length of the two sides?

The hypotenuse of a right-angled triangle is 26 cm and the difference between the other two sides is 14 cm. Find the length of the two sides.

The perimeter of a right-angled triangle is 60 cm and hypotenuse is 26 cm. Find the lengths of its other two sides.

The base of a right angled triangle is 12 cm and the three sides are in A.P. Find the length of the hypotenuse.

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

The hypotenuse of a right angled triangle is 6 cm more than twice the shortest side. If the third side is 2 cm less than the hypotenuse. Find the sides of the triangle___

Represent the following situations with suitable mathematical equations. Sridhar and Rajendar together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles now they have is 124. We would like to find out how many marbles each of them had previously.

Represent the following situations in the form of quadratic equation: The product of two consecutive positive integers is 306. We need to find the integers.

One of the sides of a right- angled triangle is 36 cm and the sum of the hypotenuse and another side is 54 cm. Find the length of the hypotenuse and another side.

The length of the hypotenuse of a right angled triangle is a Find the lenghts of its other sides , so that the sum of the sides maximum ,