Question

Are the triangle similar, if so write a similarity statement.

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asked 2021-08-04
Are the triangle similar, if so write a similarity statement.
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Answers (1)

2021-08-05

Step 1
If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.
Step 2
Now, In \(\displaystyle\triangle{T}{W}{Z}\ {\quad\text{and}\quad}\ \triangle{X}{W}{Y}\)
\(\displaystyle\angle{T}{W}{Z}=\angle{X}{W}{Y}\)
\(\displaystyle{\frac{{{T}{W}}}{{{X}{W}}}}={\frac{{{10}}}{{{15}}}}={\frac{{{2}}}{{{3}}}}\)
\(\displaystyle{\frac{{{Z}{W}}}{{{Y}{W}}}}={\frac{{{11}}}{{{20}}}}\ne{\frac{{{T}{W}}}{{{X}{W}}}}\)
Therefore, these triangles are not similar.

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