Find the length of and the perimeter of .
Step 1: Find the length of .
For any right-angled
triangle, the length of the median from the vertex of the right
angle equals half the length of the hypotenuse.
Step 2: Find the lengths of and .
For any triangle,
the length of the side opposite to the -angle equals
half the length of the hypotenuse.
It is given in the diagram that bisects , so
Step 3: Find the perimeter of .