In the image there are a pair of similar triangles and a triangle that is not similar to the others.
Determine which are similar and calculate their similarity ratio.
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In the image there are a pair of similar triangles and a triangle that is not similar to the others.
Determine which are similar and calculate their similarity ratio.
Triangle a and triangle b are similar according to the S.S.S (side side side) theorem
And the relationship between the sides is identical:
That is, the ratio between them is 1:3.
and , similarity ratio of
Angle B is equal to 60°
Angle C is equal to 55°
Angle E is equal to 60°
Angle F is equal to 50°
Are these triangles similar?
Look at the position of each side in relation to the vertices. The sides opposite similar angles correspond, and sides between similar angle pairs also correspond.
Then the triangles are not similar! For SSS similarity, all three ratios must be exactly equal. Even if two match perfectly, one different ratio means no similarity.
Absolutely! Ratios like 1.5, 2.5, or 0.75 are perfectly valid. Just make sure all three ratios equal the same decimal value for the triangles to be similar.
Let's check: Triangle A to C gives ratios , , and . Since these don't equal each other, triangle C is not similar to triangles A or B.
Yes! Always be consistent - if you write Triangle A over Triangle B for the first ratio, use the same order for all three ratios. Mixing orders will give you wrong results.
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