The area of a right-angled triangle is s = ½ * a * b, where a and b, respectively, are the legs of the triangle.
S = 168 cm2.
The legs are in the ratio a / b = 7/12, then a = 7/12 * b. Substitute in the area
168 = ½ * 7/12 * b * b;
168 = 7/24 * b ^ 2;
b ^ 2 = 168: 7/24;
b ^ 2 = 576;
b = 24;
One leg is 24 cm, then the other is a = 7/12 * 24 = 14 cm.
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