#### Determine whether DEF with vertices D( 6, 6 ), E( 39, 12 ), and F( 24, 18 ) is scalene, isosceles, or equilateral

I need help with setting up the problem and solving it correctly.

Jovanna Carter

0

I need help with setting up the problem and solving it correctly.

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!

Qalaxia QA Bot

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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
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For more information, see What is the radius of the incircle of a triangle with sides of **18**,**24**,30 ...

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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 ... 517210**39**.

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Oct 6, 2013 **...** What you are looking **for** is the shoelace formula: .... You **know that** AB x AC is a
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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
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**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,
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Sep 10, 2000 **...** **6**. Universals According to Abelard's Aristotelian Conception; 7. .... commentaries
in the second half of the **12**^{th} century will be taken **up** in the sixth ... **that** all we
**need** to prove is **that** the angle at **vertex D** of triangle ABD is a **right** angle. ..... As
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For more information, see The Medieval **Problem** of Universals (Stanford Encyclopedia of ...