ration of similarity: 2 similar equil. triangles w/ ratio of

[tmelucero]

An equalatieral triangle RST is similar to the equilateral triangel DEF with the ratio of similarity 26. Which is equivalent (3RS+5ST)/6DE+7EF to?

16
14
12
8

At a loss as to how this problem might work. I understand that the relationship is 26 so I'm either dividing or multiplying by 26. It's an equalateral so all sides on one triangle are equal... however I'm not sure the next step process

 

[skeeter]

Re: ration of similarity

An equalatieral triangle RST is similar to the equilateral triangel DEF with the ratio of similarity 26. Which is equivalent (3RS+5ST)/6DE+7EF to?

RS = ST = 26 ... DE = EF = 1

your expression should be (3RS + 5ST)/(6DE + 7EF)


16
14
12
8

At a loss as to how this problem might work. I understand that the relationship is 26 so I'm either dividing or multiplying by 26. It's an equalateral so all sides on one triangle are equal... however I'm not sure the next step process

 

[tmelucero]

right still doesn't work, I don't come up with one of the four options for an answer???

 

[skeeter]

RS = ST = 26 ... DE = EF = 1

(3RS + 5ST)/(6DE + 7EF) =

(3*26 + 5*26)/(6*1 + 7*1) =

(8*26)/13 = 16

 

[tmelucero]

right. must have been a brain cloud. Thank you!