The lower leg of a right triangle is 8 cm in length. Calculate the other two knowing that the sides of the triangle form an arithmetic sequence.

Question

please give me step by step answers thanks

Answer 1

The only right triangle that I know of which has the side lengths form an arithmetic sequence is (3,4,5) or multiples thereof.
If the 8 cm leg is the shortest side, then we can find the remaining sides by proportions, namely
8 cm, 8*4/3=32/3, 8*5/3 = 40/3
If the 8 cm side is the other side, then the sides lengths are 6,8,10.

Answer 2

the lower leg of a right triangle is 8cm in length. calculate the other two knowing that yhe sides of the triangle form an arithmetic sequence?