Question

which type of triangle has two congruent sides and one unique angle? a. equilateral b. isosceles c. right d. scalene a builder is constructing a triangular garden and needs the point where all three altitudes meet. what is this point called? a. orthocenter b. incenter c. centroid d. circumcenter what is the center of the circle inscribed in a triangle called? a. centroid b. incenter c. orthocenter d. circumcenter

Explanation:

1. An isosceles triangle is defined as a triangle with two congruent sides. The angles opposite the congruent sides are equal, and the third - angle is unique.
2. The orthocenter of a triangle is the point where all three altitudes of the triangle meet.
3. The incenter of a triangle is the center of the circle that is inscribed within the triangle. It is the point of intersection of the angle - bisectors of the triangle.

Answer:

1. b. Isosceles
2. a. Orthocenter
3. b. Incenter