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

Question
Similarity
asked 2020-10-27
To check: whether the triangles are similar. If so, write a similarity statement.
Given:
The given triangles are:
image

Answers (1)

2020-10-28
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.
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