∆MNO has side lengths of 14, 18, and 26. ∆PQR has side lengths of 7, 9, and 13. Are they similar?
Hint
Write some side length ratios.
Answer
Yes, they are similar.
Example 4
State whether the triangles are similar.
Hint
The three angles of any triangle always add up to 180°.
Answer
Yes, they are similar.
Example 5
State whether the triangles are similar.
Hint
Right angle ≅ right angle.
Answer
No, the triangles are not similar.
Example 6
A triangle has side lengths 15, 18, and 24. The longest side of a second triangle, similar to the first, has side length 72. How long are the other two sides of the second triangle?
Hint
Like most everything in life, they're proportional!