Answered

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Are the triangles similar ? If yes state how they are similar

Sagot :

Given:

The objective is to prove whether the triangles are similar or not.

For a triangle to be similar, the ratio of corresponding sides should be equal.

Consider the given triangles as,

By considering the ratios,

[tex]\frac{ED}{AD}=\frac{DC}{BD}=\frac{EC}{AB}[/tex]

Apply the given values in the above ratio.

[tex]\begin{gathered} \frac{20}{30}=\frac{22}{33}=\frac{24}{36} \\ \frac{2}{3}=\frac{2}{3}=\frac{2}{3} \end{gathered}[/tex]

Thus, all the ratio of three sides are equal.

Hence, both the triangles are similar triangles.

View image JiselleG171131
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