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.

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What is the radius of the incircle of a triangle with sides of 18,24,30 ...

If a triangle has a perimeter of 32 cm, how long are the sides? ... Given Rt Triangle, sides 18, 24, 30; Find Radius of inscribed circle. ... 2r = 12. Ergo r = 6. QED. II. Radius found to be => 6 units. The Arithmetic appears to be, ... Ravi Shankar, Ph.D. Electrical Engineering & Mathematics, Indian Institute of Science, Bangalore ...

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geometry - Equilateral triangle inscribed in a triangle - Mathematics ...

Aug 24, 2012 ... So any non-equilateral solutions would need to be strictly scalene; it turns ... There's probably a whole other approach to this problem that makes .... a right triangle ABC and putting a small offset from each vertex for the points D, E, and F, then connecting the dots, we will find that triangle DEF is ... 51721039.

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geometry - Finding out the area of a triangle if the coordinates of the ...

Oct 6, 2013 ... What you are looking for is the shoelace formula: .... You know that AB x AC is a vector perpendicular to the plan ABC such that |AB x AC|= Area ...

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In Triangle ABC, D,E, F, the mid points of the sides are BC,CA, AB ...

Since D E F are the mid points of the sides BC CA AB [math]area of \triangle DEF ... On triangle ABC, D and E are the midpoints of BC and AB respectively. The median AD meets CE at F. If the area of the triangle EFA is 1 cm square, what is the .... Solution: Recall that the line joining the midpoints of two sides of a triangle is ...

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I found an answer from en.wikipedia.org

Isosceles triangle - Wikipedia

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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Integer triangle - Wikipedia

A Heronian triangle with sidelengths c, e and b + d, and height a, all integers. An integer triangle or integral triangle is a triangle all of whose sides have lengths that are ... Each such triple defines an integer triangle that is unique up to congruence. So the number ... 1, 2, 4, 6, 9, 12, 16, 20, 25, 30, 36, 42, 49, 56, 64, 72, 81, 90 .

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