Using side lengths only, could the triangles be similar? Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q S R. Si

Question

4 years ago

13

de Q R is 1, R S is 1.5, S Q is 0.5.

1 answer:

ruslelena [56] · Answer 1 · 2022-01-12T16:28:54+03:00

Answer:

no

Step-by-step explanation:

In ∆XYZ, we can write the ratios of the sides from shortest to longest as ...

y : z : x = 1 : 1.5 : 2 = 2 : 3 : 4

In ∆QSR, we can write the ratios of the side lengths from shortest to longest as ...

r : s : q = 0.5 : 1 : 1.5 = 1 : 2 : 3

Based on side lengths only, the triangles cannot be similar.

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<em>Additional note</em>

Even if shortest-to-longest side ratios were the same, the triangle naming is incorrect for them to be similar.