# To check: whether the triangles are similar. If so, write a similarity statement.Given:The given triangles are:12210203171.jpg

Carol Gates 2020-10-27 Answered

To check: whether the triangles are similar. If so, write a similarity statement.
Given:
The given triangles are:

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krolaniaN
Calculation:
The lenght of the given triangles $$\displaystyle\triangle{T}{W}{Z}$$ are 10,11, and triangles $$\displaystyle\triangle{V}{W}{X}$$ are 20,20. Now,
$$\displaystyle\frac{{{T}{W}}}{{{W}{V}}}=\frac{{10}}{{20}}=\frac{{1}}{{2}}{\left\lbrace{s}{i}{d}{e}{r}{a}{t}{i}{o}\right\rbrace}$$
$$\displaystyle\frac{{{Z}{W}}}{{{X}{W}}}=\frac{{11}}{{22}}=\frac{{1}}{{2}}{\left\lbrace{s}{i}{d}{e}{r}{a}{t}{i}{o}\right\rbrace}$$
$$\displaystyle\angle{T}{W}{Z}=\angle{V}{W}{X}$$
$$\displaystyle\therefore\triangle{T}{W}{Z}\sim\triangle{V}{W}{X}$$ {by SAS-similarity}
Hence, the triangle is similar by SAS-similarity.