Question

CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's

triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:

Answer 1

9514 1404 393

Answer:

Jermaine and Sadie have similar triangles. Aisha's is not similar.

Explanation:

The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.

Jermaine's triangle has side ratios ...

8 : 14 : 20 = 4 : 7 : 10

Sadie's triangle has side ratios ...

2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)

Aisha's triangle has side ratios ...

4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)

Sadie and Jermaine have similar triangles.