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The incenter of a right triangle lies on the side opposite the right angle?
TRUE
How do you prove that if two sides of a triangle are unequal the angles opposite these sides are unequal and the greater angle lies opposite the greater side and conversely?
I seem to remember something called the Law of Sines, which says that in any triangle, sin(A)/a = sin(B)/b = sin(C)/c . Grab any two of these terms, and together, they state algebraically exactly the hypothesis in your question.
Do the altidudes of a triangle always meet in the interior of the triangle?
In a obtuse triangle, the point of concurrency, where multiple lines meet, of the altitudes, called the orthocenter, is outside the triangle. In a right angle, the orthocenter lies on the vertex (corner) of the right angle. In an acute angle, the orthocenter lies inside the triangle.
A plastic triangle used for drafting has sides 11.3 cm 23.8 cm and 21.7 cm Find the largest angle in the triangle?
largest is lies opposite to the largest side , so the largest angle is the angle which is opposite to the 23.8cm side. let a=11.3 ,b=23.8 and c=21.7 ,then the largest angle cosB=(a2+c2 -b2)/2ac ,here the largest angle is B
What is the definition of the remote interior angle of a triangle?
Remote interior angles are the two angles of a triangle that are not adjacent to the exterior angle which is drawn by extending one of the sides. So when you draw out your triangle, the remote interior angles are the two angles that are the furthest away from your exerior angle.
What are the characteristics of orthocenter?
The orthocenter of a triangle is the point where the altitudes of the triangle intersect. It may lie inside, outside, or on the triangle depending on the type of triangle. In an acute triangle, the orthocenter lies inside the triangle; in a right triangle, it is at the vertex opposite the right angle; and in an obtuse triangle, it is outside the triangle.
Exterior angle of a triangle?
Exterior Angle Theorem Exterior angle of a triangle An exterior angle of a triangle is the angle formed by a side of the triangle and the extension of an adjacent side. In other words, it is the angle that is formed when you extend one of the sides of the triangle to create a new line, and then measure the angle between that new line and the adjacent side of the original triangle. Each triangle has three exterior angles, one at each vertex of the triangle. The measure of each exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it. This is known as the Exterior Angle Theorem. For example, in the triangle below, the exterior angle at vertex C is equal to the sum of the measures of angles A and B So, angle ACB (the exterior angle at vertex C) is equal to the sum of angles A and B. Recomended for you: 𝕨𝕨𝕨.𝕕𝕚𝕘𝕚𝕤𝕥𝕠𝕣𝕖𝟚𝟜.𝕔𝕠𝕞/𝕣𝕖𝕕𝕚𝕣/𝟛𝟚𝟝𝟞𝟝𝟠/ℂ𝕠𝕝𝕝𝕖𝕟ℂ𝕠𝕒𝕝/
What do you called the intersection point of angle bisector?
The three angle bisectors in a triangle always intersect in one point, and this intersection point always lies in the interior of the triangle. The intersection of the three angle bisectors forms the center of the circle in- scribed in the triangle. (The circle which is tangent to all three sides.) The angle bisectors meet at the incenter which has trilinear coordinates.
If a triangle is obtuse where is the orthocenter of the triangle found?
If a triangle is obtuse, the orthocenter of the triangle actually lies outside of the triangle. If the triangle is acute, the orthocenter of the triangle lies on the inside of the triangle
Where is the orthocenter on an obtuse triangle?
An orthocenter on an obtuse triangle actually lies outside of the triangle. In an acute triangle, the orthocenter lies within the triangle.
The orthocenter of a triangle may lie outside the triangle since?
The orthocenter is the point where the altitudes of a triangle intersect. An orthocenter lies outside of a triangle only when the triangle is obtuse. If a triangle is acute, the orthocenter lies inside of the triangle.
Centroid of a triangle?
The centroid of a triangle is the point of intersection of its three medians. Each median of a triangle connects a vertex to the midpoint of the opposite side. The centroid divides each median into two segments with a ratio of 2:1, closer to the vertex.
