incenter triangle problems Equilateral

Geometry Problem 40. Triangle. Incenter. Excenter. Angle Bisector. Similarity. Metric relations. Level: High School. College. Math Education. | Dicas
Equilateral triangle
In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°. It is also a regular polygon, so it is also referred to as a regular triangle.
Incircle of Triangle
A circle is inscribed in the triangle if the triangle's three sides are all tangents to a circle. In this situation, the circle is called an inscribed circle, and its center is called the inner center, or incenter. Since the triangle's three sides are all tangents to the inscribed circle, the distances from the circle's center to the three sides are all equal to the circle's

Copying a triangle with compass and straightedge or …

Given a triangle, this page shows how to construct another triangle that is congruent to it using a compass and straightedge or ruler. Printable step-by-step instructions The above animation is available as a printable step-by-step instruction sheet, which can …

Centroid of A Triangle, ratios formed explained with …

Centroid of a triangle and the ratios it forms. Explained with examples and illustrations for acutes and obtuse triangles. The Centroid is a point of concurrency of the triangle.It is the point where all 3 medians intersect and is often described as the triangle’s center of gravity or as the barycent.
Obtuse Angled Triangle
The obtuse-angled triangle have one of the angles greater than 90 degrees. Visit BYJU’S to learn more about obtuse triangle definition, basic properties, and formulas with example. A triangle is a closed two-dimensional plane figure with three sides and three angles.

How to construct a 90 degree angle with compass and …

On this page we show how to construct (draw) a 90 degree angle with compass and straightedge or ruler. There are various ways to do this, but in this construction we use a property of Thales Theorem.We create a circle where the vertex of the desired right angle is a point on a circle. of the desired right angle is a point on a circle.
Hypotenuse Leg Theorem
In a right-angled triangle, the hypotenuse is the longest side and it’s always opposite the right angle. In order to prove the two right triangles congruent, we apply HL or RHS congruence rule. In this mini-lesson, you will learn the hypotenuse leg theorem, hypotenuse leg theorem-proof, Pythagorean theorem, and hypotenuse theorem.
Circumscribed circle
In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius. Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a
Dummies has always stood for taking on complex concepts and making them easy to understand. Dummies helps everyone be more knowledgeable and confident in applying what they know. Whether it’s to pass that big test, qualify for that big promotion or even
In mathematics and physics, the centroid or geometric center of a plane figure is the arithmetic mean position of all the points in the figure. Informally, it is the point at which a cutout of the shape could be perfectly balanced on the tip of a pin.[1] The definition extends to any object in n-dimensional space: its centroid is the mean