Question

The lengths of the sides of a right triangle form three consecutive terms in an arithmetic sequence. Show that the triangle is similar to the 3-4-5 right triangle.

Answer 1

This isn't clear. :/

Answer 2

its straight from my book

Answer 3

oh :/

Answer 4

@ash2326

Answer 5

@GOODMAN

Answer 6

@Mertsj

Answer 7

can any of u help me or are u guys just on my question

Answer 8

hey ask @.Sam.

Answer 9

Im sorry i dont understand either, as @Ivanka123 said, its unclear.

Answer 10

k thanks

Answer 11

Three consecutive terms of arithmetic sequence: a, a+d, a+2d,
If the triangles are similar, the corresponding sides have the same ratio:
\[\frac{a}{3}=\frac{a+d}{4}=\frac{a+2d}{5}\]

Answer 12

Can you take it from there?

Answer 13

I think you might have confused him @Mertsj
I feel like this question should contain an image.
Like a visual reference to help guide you to the answer.

Answer 14

That is an excellent idea...could you post one?

Answer 15

You want me to post one? It seems like the student we're helping is offline. I'll see if I can come up with an image judging by the question.

Answer 16

Good for you. I guess we care more about the problem than the asker!!

Answer 17

May this be of assistance to the question?

Answer 18

Good job. Thanks

Answer 19

i am sorry i had baseball to go to

Answer 20

Did you win?

Answer 21

practice

Answer 22

What position do you play?

Answer 23

pitcher

Answer 24

Are you any good?

Answer 25

i would say so. can u pls help me with the problem

Answer 26

Alright, let's see if we can get this problem done.

Answer 27

I thought I did. Did you read the stuff I posted. It should be almost done.

Answer 28

Ok. Kitt wants to help you. If you need me you can holler.

Answer 29

what do i do with the ratios

Answer 30

@Mertsj please explain the ratios

Answer 31

You remember that the problem says to show that the triangle is similar to a 3-4-5 right triangle. So we remember that if two triangles have sides with equal ratios that means the triangles are similar.

Answer 32

So we have two triangles: