Question

in abc is similar to xyz, if ab=15.bc=12,and ac=20 what are the value of xy,yx,and xz?

Answer 1

Answer:

∠ Y = 40°

Step-by-step explanation:

See the attached diagram.

The two triangles shown in the diagram, Δ ABC and Δ XZY are similar triangles.

{Since AB : BC : CA = XZ : YZ : XY = 3 : 6 : 2√3 }

So, the corresponding angles of the two triangles will be the same.

So, ∠ Y = ∠ C

Now, from Δ ABC, ∠ A = 80° and ∠ B = 60°

So, ∠ C = 180° - ∠ A - ∠ B = 180° - 80° - 60° = 40°

Therefore, ∠ Y = 40° (Answer)

Step-by-step explanation:

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Answer 2

ab * bc * ac = 15 * 12 * 20
a2b2c2 = 3600
(abc)2 = 3600
abc = sqrt ( 3600 )
abc = 60
Therefore xyz = 60