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Write a statement that must be true about an equilateral triangle and an isosceles triangle?
An equilateral triangle is also isosceles.Improved Answer:-They are both triangles whose 3 interior angles add up to 180 degrees and an equilateral triangle has 3 equal angles with 3 equal sides whereas an isosceles triangle has 2 equal angles with 2 equal sides
Explain Why the height of a triangle depends on which side you select for the base?
The height of a triangle is the length of the perpendicular dropped to the base (extended if necessary) from the opposite vertex. This depends on which side is the base, unless the triangle is equilateral. For example, if you have a tall skinny isosceles triangle whose equal sides are a mile long and the third side is an inch long, the height is about a mile if you choose the third side as the base. If you choose either of the other two sides as base, the height will be about an inch.
Is the altitude of a triangle is a segment whose endpoints are a vertex of a triangle and the midpoints of the side opposite the vertex?
Yes but only if it's an equilateral or an isosceles triangle otherwise it's the vertical perpendicular height
Define equilateral and equiangular polygon?
An equilateral polygon is a polygon whose sides are all of the same measure. An equiangular polygon is a polygon whose angles are all of the same measure. A triangle is the only polygon where these two are effectively one and the same.. But it does not apply to polygons of 4 or more sides. A square and rhombus are equilateral but a rhombus is not equiangular. A square and rectangle are equiangular but a rectangle is not equilateral. This can be extended to all polygons with more than 4 sides but it is more difficult because they do not have distinctive names.
What is a statement for equilateral triangles?
They are triangles whose three sides are equal in length and whose three interior angles are equal in measure.
