Question
properties of isosceles triangle
theorem 6-19
description/definition
theorem 6-19
description/definition
Answers
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Theorem 6-19: In an isosceles triangle, the altitude to the base is also the median to the base.
An isosceles triangle is a triangle with at least two congruent sides. The congruent sides are called the legs of the triangle, and the third side is called the base. When an altitude is drawn from the vertex angle (the angle between the congruent sides) to the base, it also bisects the base, meaning it cuts the base into two equal parts. In other words, the altitude is also the median to the base in an isosceles triangle.
Properties of an isosceles triangle:
1. Two sides of the triangle are congruent (equal in length).
2. The angles opposite the congruent sides are also congruent (equal in measure).
3. The altitude to the base bisects the base and is also the median to the base.
4. The altitude to the base also bisects the vertex angle.
These properties can be used to find the lengths of sides and measures of angles in isosceles triangles, as well as solving problems involving similarity and congruence.
An isosceles triangle is a triangle with at least two congruent sides. The congruent sides are called the legs of the triangle, and the third side is called the base. When an altitude is drawn from the vertex angle (the angle between the congruent sides) to the base, it also bisects the base, meaning it cuts the base into two equal parts. In other words, the altitude is also the median to the base in an isosceles triangle.
Properties of an isosceles triangle:
1. Two sides of the triangle are congruent (equal in length).
2. The angles opposite the congruent sides are also congruent (equal in measure).
3. The altitude to the base bisects the base and is also the median to the base.
4. The altitude to the base also bisects the vertex angle.
These properties can be used to find the lengths of sides and measures of angles in isosceles triangles, as well as solving problems involving similarity and congruence.