Homework Help: tricky math

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

No one has answered this question yet.

Answer this Question

Related Questions

math - Is it possible for the lengths of a right triangle to form a geometric ...
geometry - The perimeter of an isosceles triangle is 37 in. The lengths of the ...
math - A right triangle with sides in the ratio 3:4:5 has one side length of 60...
pre algebra - the lengths of the sides of a triangle are 9,9 and 15. determine ...
trig - In a right triangle the hypotenuse has length 10 and the the sum of the ...
math - The sides of a right angled triangle are x,x+1 and x+2.find x,Am not ...
Geometry - The lengths of three sides of a triangle are given. Describe each ...
math - consider the right traingel with sices 3, 4, and 5. the lengths form an ...
maths - shapes - Can you name these quadrilaterals? a) All sides are the same ...
Math - Yesterday I learned to solve a right triangle assuming I know the 3 ...

For Further Reading

First Name:
School Subject:
Answer: