The area of a right triangle is 99cm2. One side is 9 cm, find the other side.

Given:
right-angled triangle ABC,
angle A = 90 degrees,
AB and AC – legs,
S abc = 99 square centimeters,
AB = 9 centimeters.
Find the length of the AC leg -?
Decision:
Consider a right-angled triangle ABC. The area of a right-angled triangle is the product of its legs by 1/2. Therefore, we get:
S abc = 1/2 * AB * AC;
S abc = 1/2 * 9 * AC;
99 = 1/2 * 9 * AC;
99 = 9/2 * AC;
AC = 99: 9/2;
AC = 99 * 2/9;
AC = (99 * 2) / 9;
AC = (11 * 2) / 1;
AC = 22 centimeters.
Answer: AC = 22 centimeters.