Question

The larger leg of a right triangle is 3 cm longer than its smaller leg. the hypotenuse is 6 cm longer than the smaller leg. how many centimeters long is the smaller leg? standard(s)

Answer 1

You have describe a triangle in which the legs and hypotenuse are an arithmetic sequence with a common difference of 3 cm. The only right triangle with legs and hypotenuse in arithmetic sequence is the 3-4-5 right triangle (and similar).

The smaller leg of your triangle is 3*3 cm = 9 cm.