Question

In triangle RST, RS=10, RT=15, and measurement R=32. In triangle UVW, Uv==12, UW=18, and measurement U=32. Are the polygons similar? If they are, write a similarity statement and give the similarity ratio?

Answer 1

Answer:

Yes.They are similar

Step-by-step explanation:

Given that In triangle RST, RS=10, RT=15, and measurement R=32. In triangle UVW, Uv==12, UW=18, and measurement U=32

Compare triangles RST and UVW

We have been given

angle U = angle R = 32

Also RS/UV =5/6

RT/UW =15/18 =5/6

Since one angle is equal, and proportion of two pairs of sides is equal

we find that the two triangles are similar

The proportionality ratio is 5:6

Answer 2

The polygons are similar.

∆RST ∼ ∆UVW and the similarity ratio is 56. 

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