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 perimeter of a right triangle 60 cm. If its hypotenuse is 25 cm, find the area of the triangle.

The base of a triangle is 4cm longer than its altitude. If the area of the triangle is 48 sq.cm then find its base and altitude.

The hypotenuse of a right triangle is 6m more than twice of the shortest side. If the third side is 2 m., less than the hypotenuse, find the sides of the triangle

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 longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

Show that in a right angled triangle, the hypotenuse is the longest side.

Equilateral triangles are drawn on the three sides of a right angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

The ratio of the measures of the sides of a triangle is 3 : 4 : 5. If the semiperimeter of the triangle is 36 cm, the measure of the longest side of the triangle is …………..cm.

Construct a right triangle whose base is 7.5cm. and sum of its hypotenuse and other side is 15cm.