Sangeetha Pulapaka
1

You have to find the distance between the given set of points to know if the triangle will be scalene,isosceles or equilateral.

As you know when no sides are equal it is a scalene triangle

An isosceles triangle has two sides of equal length

In an equilateral triangle all three sides have the same equal distance.

Let us find the distance between vertices D (6,6) and E(39, 12) DE

Use the formula which is

Assume x_{1} = 6, x_{2} = 6,  y_{1} = 39, y_{2} = 12

Plugging  these values in the formula we get the distance DE

The same has to be repeated to find the distance EF and distance DF.

Let me know if you need more help!

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In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case. ... Examples of isosceles triangles include the isosceles right triangle, the ...

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