Two right triangles are similar. the legs of one of the triangles are 5 and 12. the second right triangle has a hypotenuse with a length of 39. what is the scale factor between the two triangles?

a. 4: 3
b. 1: 3
c. 2: 6
d. 1: 2

b. 1:3

Step-by-step explanation:

To find the hypotenuse of the first triangle, use a^2 + b^2 = c^2

c = sqrt (5^2 + 12^2)

c = 13

From here, since they are similar, you can set up a proportion

13:39

1:3

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

a: 1/6, j: 1/4

step-by-step explanation: you are welcome