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Complete the explanation of how you know whether the triangles are similar. If possible, find the Indicated length. A Р 2.0 1.7 во 1.2 C R. Because two pairs of angles are congruent, the triangles are similar by the select) QR =

Complete the explanation of how you know whether the triangles are similar If possible find the Indicated length A Р 20 17 во 12 C R Because two pairs of angles class=

Respuesta :

When two triangles have two pairs of angles congruent, it means that the third pair of angles also is congruent.

Then, the trianglers are similar by AA (Angle, angle) similar triangle theorem.

When two triangles are similar the ratio between corresponding sides is the same.

Corresponding sides in the given triangles:

CB and QR

AC and PR

AB and PQ

[tex]\frac{QR}{CB}=\frac{PR}{AC}=\frac{PQ}{AB}[/tex]

Then, as you know the measure of AC and corresponding side CB you use the next to find the measure of side QR:

[tex]\frac{QR}{CB}=\frac{PR}{AC}[/tex]

Use the given measures and find QR:

[tex]\begin{gathered} \frac{QR}{1.2}=\frac{1.7}{2.0} \\ \\ QR=\frac{1.7}{2.0}(1.2) \\ \\ QR=\frac{2.04}{2.0} \\ \\ QR=1.02 \end{gathered}[/tex]QR=1.02

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