The two right sides of a right triangle are 8 cm and 6 cm respectively, and the hypotenuse is 10 cm.

The area of the triangle will not change, so there are:

1/2× 6× 8 =1/2×10× the height of the hypotenuse.

Height of hypotenuse = 6× 8 ÷10 = 4.8cm.