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

Question

Mathematics

Binky

15 July, 17:38

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

+5

Answers (1)

Know the Answer?

Orlando Woodward · Answer 1

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

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

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