Posted by **Aerial** on Thursday, December 21, 2006 at 6:18pm.

consider the right triangle with sides 3,4,5. Notice that the lengths of the sides form an arithmetic sequence.

a. determine three other right triangles wtih side lengths in arithmetic sequence.

b.let the sides of a right triangle be a, a+d,a+2d units long. Use the pythagorean theorem to determine a relationship between a and d.

c. based on the results in part b, mae a general statement about all right triangles whose sides form an airthmetic sequence.

so lost, someone please help

(a) HINT: there are infinite trianles similar to 3, 4, 5

(b) a = a

b = a + d

c = a + 2d

substitute these values into the pythagoren theorem and see if you can find any relationships

(c)intuitive

a, like 7,8,9 10,11,12 13,14,15

b, a^4+2ad+d^2=2d^4

c, what is intuitive?

thank you so much for explaining.,...trying to see if im on the right track

wait...a^a=2ad....but i still don't understand what that in turn means about c

## Answer this Question

## Related Questions

- math - consider the right traingel with sices 3, 4, and 5. the lengths form an ...
- Math - In a right triangle, there is arithmetic sequence. If the shortest side ...
- Math - In a right triangle, there is arithmetic sequence. If the shortest side ...
- math - the lengths of the three sides of a right triangle R have odd integer ...
- math - The lower leg of a right triangle is 8 cm in length. Calculate the other ...
- geometry - The perimeter of an isosceles triangle is 37 in. The lengths of the ...
- Math - If all of the following triangles have the same perimeter, which has the ...
- math - A right triangle with sides in the ratio 3:4:5 has one side length of 60...
- math - The ratio of the corresponding sides of two similar triangles is 3:2. The...
- geometry - If a triangle has sides of lengths a and b, which make a C-degree ...