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Can the triangles below be proven similar by the sas similarity postulate?

Can the triangles below be proven similar by the sas similarity postulate?-example-1
User Deez
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1 Answer

6 votes

Answer:

Yes it can!

Explanation:

In the given triangles,
∠B = ∠F
Also, ratio of sides given are
2.3/13.8 ≈ 1.67 -> (i)
And 1.9/11.4 ≈ 1.67 -> (ii)
Thus, (i) = (ii)
∴ AB/BF = BC/DF

So we can prove both triangles are similar as the two sides are proportional and the angle between the corresponding sides are equal, so we can use the SAS similarity postulate as the two sets of corresponding sides are proportional and the included angles are congruent .

User Ibrahima
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8.1k points