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If you have an equilateral triangle ABC, then draw the line from A to D, the mid point of BC.
Then in trangles ABD and ACD, AB = AC (equilateral), BD = DC (D is midpoint), and AD is common so these two triangles are congruent and so angle ABD = angle ACD.
That is, angle ABC = angle ACB.
Similarly the third angle can be shown to be the same. Thus an equilateral triangle is also equiangular.
Now, sum of the interior angles of any triangle is 180 degrees. So since sum of three equal angles measures is 180 degrees, they must be 60 degrees each, i.e. NOT 90 degrees so there is no right angle..
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Write an argument to show that an equilateral triangle cannot have a right?
An equilateral triangle is a triangle where all sides are the same length and all three angles are the same. The sum of the angles of a triangle is 180 degrees. 180 ÷ 3 = 60
What is an inverse statement of if a triangle is an equilateral triangle?
"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse statement.
What type of triangle has side lengths of 5 6 and 7?
A triangle with sides of length 5,6, and 7 is a Scalene triangle.It cannot be an equilateral triangle as all three sides must be of equal length.It cannot be an isosceles triangle as this requires two sides of the same length.It cannot be a right angled triangle as 52 + 62 does not equal 72.
Can a triangle have 2 abtuse angles?
No, a triangle cannot have more than one obtuseangle.
What is a five sided 3D triangle?
A 3-D TRIANGLE cannot have 5 sides.
What is an equilateral triangle obtuse triangle?
An oxymoron. An equilateral triangle cannot be obtuse; an obtuse triangle cannot be equilateral.
Write an argument to show that an equilateral triangle cannot have a right?
An equilateral triangle is a triangle where all sides are the same length and all three angles are the same. The sum of the angles of a triangle is 180 degrees. 180 ÷ 3 = 60
What is an inverse statement of if a triangle is an equilateral triangle?
"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse statement.
Can an right angle triangle also be an equilateral?
no. an equilateral triangle is also equiangular, so the angles are 60 degrees each. a right triangle cannot be equilateral
Which statement about triangles cannot be proved for all triangles?
if a triangle is acute, then the triangle is equilateral
What properties can an equilateral triangle not possess?
It cannot have four sides.
How does a obtuse equilateral triangle?
It does nothing. Because it cannot exist.
Are all right triangles equilateral triangles?
no. In fact a right angled triangle cannot be equilateral. An equilateral triangle is also equiangular: that is, all its angles are equal. The sum of all three angles of a [plane] triangle must be 180 degrees and so they cannot be 90 deg each.
What is the supplementary angle to an equilateral triangle?
A triangle is a polygonal shape, not an angle and therefore, cannot have a supplementary angle.
Can you draw an right equilatteral triangle?
No a right triangle cannot be equilateral, the hypotenuse will always be larger than the sides.
Can a triangle be considered an equilateral triangle and a right triangle?
No but a right angle triangle can be considered to be an isosceles triangle when its interior angles are 90, 45 and 45 degrees.
Does a right-angled triangle have any equal sides?
A right-angled triangle can have equal sides, but does not have to. A right-angled triangle with two equal sides CANNOT be an equilateral triangle. A right-angled triangle cannot be an equilateral triangle.Divide a square along the diagonal, and you are left with two right-angled triangles with two sides of equal length.
