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

Construct an equilateral triangle of sides 6 cm and locate its orthocentre.

Construct the right triangle PQR whose perpendicular sides are 4.5 cm and 6 cm. Also locate its circumcenter and draw the circumcircle.

Find the area of a right triangle whose hypotenuse is 10 cm and one of the acute angle is 24^(@) 24'.

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

Draw a right triangle whose hypotenuse is 10 cm and one of the legs is 8 cm. Locate its incenter and also draw the incircle.