Question

Will created the larger right triangle below be dilating smaller triangle.

What scale factor did Will apply to the smaller triangle to create the larger triangle?
Select one:
a. 3/1
b. 4/15
c. 15/4
d. 1/3

Answer 1

We use ratios here. Notice that the small triangle has a hypotenuse of 5 cm:Since the larger and smaller triangles are similar, the ratios of their sides will be the same, i.e. (hypotenuse of large triangle) / (hypotenuse of small triangle) = (base of large triangle) / (base of small triangle) = (height of large triangle) / (height of small triangle). Since we know the length of the hypotenuse of both triangles, we can use that to find this ratio between their sides:\[\bf \frac{ 15 \ cm }{ 5 \ cm }=3\]Hence the sides of the large triangle are 3 times the length of the respective sides of the small triangle.

@katlynnn

Answer 2

i dont get it so which answer is it @genius12

Answer 3

leave this site if u only want answers

Answer 4

whats your problem @julian25

Answer 5

@julian25 That's no way to talk.
@katlynnn Like I said, the side lengths of the larger triangle are multiplied by a factor of 3 with respect to the side lengths of the small triangle. So the scale factor is 3 with respect to the small triangle. Which option will it be?

Answer 6

so i need to multiply the sides by 3 @genius12

Answer 7

Correct. The sides of the small triangle are multiplied by a scale factor of 3 to get the side lengths of the large triangle. So which option is the right one? @katlynnn

Answer 8

i got 12 and 9 but its not in the options

Answer 9

@genius12

Answer 10

What you just did ...was solve for the other side lengths....and great job doing that...but remember what the question asked...what is the "scale factor"

so what did you just do ...to find those new side lengths? you multiplied by 3 right? so each side on the new triangle is 3 times your smaller triangle....so your scale factor is 3....or 3/1 in this case