Question

Are the triangles similar ? If yes state how

Answer 1

Given:

The objective is to find whether the two triangles are similar or not with explanation.

The given triangles can be represented as,

From the given figure, the sides AB = AC = 13.5 and the sides DE = DF = 7.5.

For two triangles to be similar, the ratio of their adjacent sides should be equal.

The ratios are,

`(AB)/(DE)=(AC)/(DF)=(BC)/(EF)`

Now, apply the given values in the above ratio.

`\begin{gathered} (13.5)/(7.5)=(13.5)/(7.5)=(9)/(5) \\ 1.8=1.8=1.8 \end{gathered}`

Thus, the ratios of sides of the two triangles are similar.

Hence, the two triangles are similar triangles.