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How can the distance formula help you determine if the triangle is scalene isosceles or equilateral?
Use the distance formula to calculate the distances between the three vertices. If they are all different, the triangle is scalene, if only two are the same, the triangle is isosceles, and if they are all the same, the triangle is equilateral.
Definition Base angles of Isosceles triangles?
The base angles of an isosceles triangle are the two angles with the same measure, each formed by the intersection between the base of the triangle and one of the two legs.
Does the angle bisector of the vertex angle of an isosceles triangle divides the triangle into two congruent?
Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.
Why does the acute angles in an isosceles right triangle always measures 45 degrees?
The question lists three facts: "triangle", "right", and "isosceles". Each fact carries important information. -- "triangle" ... The three angles in any triangle always add up to 180 degrees -- "right" ... One angle in a right triangle must be a right angle = 90 degrees. That leaves the other 90 degrees for the other two angles to share. -- "isosceles" ... Two of the angles in an isosceles triangle are equal. If there are 90 degrees to share between them, then each of them is 45 degrees.
Triangle with 2 lines of symmetry?
A triangle with two lines of symmetry does not exist. It can have one line of symmetry (an isosceles triangle) or three (an equilateral triangle), but not two.
