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What is the shortest distance from he center of the inscribed circle to the triangles sides?
The shortest distance from the center of the inscribed circle (the incenter) to the sides of a triangle is equal to the radius of the inscribed circle, known as the inradius. This distance is perpendicular to the sides of the triangle. The inradius can be calculated using the triangle's area and its semi-perimeter. Thus, the incenter serves as the point from which the shortest distances to each side are measured.
What triangle has congruent corresponding sides and congruent corresponding angles?
It is an equilateral triangle that has 3 equal sides and 3 equal interior angles
What is the scale factor of triangle ABC to triangle XYZ?
The scale factor of triangle ABC to triangle XYZ can be determined by comparing the lengths of corresponding sides of the two triangles. To find the scale factor, divide the length of a side in triangle ABC by the length of the corresponding side in triangle XYZ. If all corresponding sides have the same ratio, that ratio is the scale factor for the triangles.
What is an incenter of a triangle?
The incenter is the center of the incircle for a polygon or insphere for a polyhedron (when they exist). The corresponding radius of the incircle or insphere is known as the inradius. The incenter can be constructed as the intersection of angle bisectors. It is also the interior point for which distances to the sides of the triangle are equal. It hastrilinear coordinates
What are the different of congruent triangle and similar triangle?
The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.
What is the relationship between the shortest side of a triangle and the measure of the angle opposite it?
The shortest side of a triangle is opposite to the smallest interior angle.
What triangle has congruent corresponding sides and congruent corresponding angles?
It is an equilateral triangle that has 3 equal sides and 3 equal interior angles
What is the scale factor of triangle ABC to triangle XYZ?
The scale factor of triangle ABC to triangle XYZ can be determined by comparing the lengths of corresponding sides of the two triangles. To find the scale factor, divide the length of a side in triangle ABC by the length of the corresponding side in triangle XYZ. If all corresponding sides have the same ratio, that ratio is the scale factor for the triangles.
What is an incenter of a triangle?
The incenter is the center of the incircle for a polygon or insphere for a polyhedron (when they exist). The corresponding radius of the incircle or insphere is known as the inradius. The incenter can be constructed as the intersection of angle bisectors. It is also the interior point for which distances to the sides of the triangle are equal. It hastrilinear coordinates
What are the different of congruent triangle and similar triangle?
The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.
Vertices of a triangle do not necessarily have corresponding medians?
False.
HOW do you find the similar ratio of a triangle?
Divide the length of a side of one triangle by the length of the corresponding side of the other triangle.
If six parts of one triangle are equal to the corresponding parts of another triangle the triangles are?
nonononono
In similar triangles corresponding What is are congruent and corresponding?
For segments or angles, "congruent" means that they have the same measure.For more complicated figures, such as triangles, "congruent" means that all corresponding sides and angles are congruent. "Corresponding" means that you make an assignment, from angles and sides of one triangle, to angles and sides of the other triangle. For example, you might label the sides of one triangle a1, b1, c1, and the sides of other triangle a2, b2, c2 - and you consider the "a" sides to be "corresponding".
Triangle ABC has two sides that measure 12 inches and 16 inches. which could be the measures of the corresponding sides of a triangle that is similar to triangle ABC?
One pair of corresponding sides of a triangle that are similar to triangle ABC are 6 inches and 8 inches. However, there are multiple answers to this question.
Can an Isosceles Triangle Be Equiangular?
no. angles can only be equal only if the corresponding sides are equal. only an equilateral triangle is an equiangular triangle.
What is the triangle equality theorem?
Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
