In the figure below, A , B , C , and D lie on the circle centered at O
Which of the following does NOT appear in the figure?
Acute triangle
Equilateral triangle
Isosceles triangle
Right triangle
Scalene triangle
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It is either Isosceles or scalene. But it doesn't really show you if its isosceles or scalene.
BettyIsAwesome:
I think its Isosceles tho.... :/
XxXNessalulbaddieXxX:
@bettyisawesome wrote:
I think its Isosceles tho.... :/
i was thinking the same thing but let me call the expert
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XxXNessalulbaddieXxX:
@extrinix
Extrinix:
First let's go through the definition of each of these.
Acute triangle - a triangle that contains all sides under 90\(^o\)
Equilateral triangle - all sides are equal (60\(^o\))
Isosceles triangle - a triangle that has 2 equal sides
Right triangle - a triangle with a 90\(^o\) angle
Scalene triangle - a triangle with no equal sides
Okay so, lets look at \(\triangle\)ABO, it contains a 60\(^o\) angle, meaning that it's an equilateral triangle, and it's also under 90, so an acute triangle, it also contains \(3\) equal sides, so we can call it an isosceles triangle too.
Acute, Equilateral, Isosceles, Right, Scalene.
Now, let's look at \(\triangle\)CDO, it contains a 90\(^o\) angle, making it a right triangle, it also contains 2 equal sides, an isosceles triangle.
So from this, we'd be left with \(Scalene\).
BettyIsAwesome:
@extrinix wrote:
First let's go through the definition of each of these.
Acute triangle - a triangle that contains all sides under 90\(^o\)
Equilateral triangle - all sides are equal (60\(^o\))
Isosceles triangle - a triangle that has 2 equal sides
Right triangle - a triangle with a 90\(^o\) angle
Scalene triangle - a triangle with no equal sides
Okay so, lets look at \(\triangle\)ABO, it contains a 60\(^o\) angle, meaning that it's an equilateral triangle, and it's also under 90, so an acute triangle, it also contains \(3\) equal sides, so we can call it an isosceles triangle too.
Acute, Equilateral, Isosceles, Right, Scalene.
Now, let's look at \(\triangle\)CDO, it contains a 90\(^o\) angle, making it a right triangle, it also contains 2 equal sides, an isosceles triangle.
So from this, we'd be left with \(Scalene\).
I am sorry... I am confused by this.
BettyIsAwesome:
I thought that scalene was a triangle that had no equal sides. It looks like that triangle has 2 equal sides.. :(
Extrinix:
Your question states "Which of the following does NOT appear in the figure?", which means you look for the one that's not included.
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Extrinix:
@bettyisawesome wrote:
I thought that scalene was a triangle that had no equal sides. It looks like that triangle has 2 equal sides.. :(
You are right, it contains no equal sides, and both triangles have at least 2 equal sides.