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

May 29, 2021 | education

| 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.

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