Question

Define the following:

a) Exterior angle

b) Altitude

c) Median

d) Hypotenuse

e) Isosceles triangle

f) Orthocentre

g) Legs of a right triangle

h) Angle sum property of a triangle
no spam or absurd answers or i will report

Answer 1

Answer:

a) In geometry, an angle of a polygon is formed by two sides of the polygon that share an endpoint. For a simple polygon, regardless of whether it is convex or non-convex, this angle is called an interior angle if a point within the angle is in the interior of the polygon.

b) The height of anything above a given planetary reference plane, especially above sea level on earth. extent or distance upward; height. ... the perpendicular distance from the vertex of a figure to the side opposite the vertex.

c) The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.

d) In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

e) In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

f) the point of intersection of the three altitudes of a triangle.

Answer 2

Answer:

1) 1 : the angle between a side of a polygon and an extended adjacent side. 2 : an angle formed by a transversal as it cuts one of two lines and situated on the outside of the line.

2) In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude. The intersection of the extended base and the altitude is called the foot of the altitude. The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex. It is a special case of orthogonal projection.

3) In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

4) In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.

5) An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.

6) The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side. There are therefore three altitudes in a triangle.

7) The legs of a right triangle are the two sides that intersect to determine the right angle. The remaining side is called the hypotenuse. Sometimes it is required to solve a right triangle to find the length of one or both of the legs of the right triangle.

8) In the given triangle, ∆ABC, AB, BC, and CA represent three sides. A, B and C are the three vertices and ∠ABC, ∠BCA and ∠CAB are three interior angles of ∆ABC. Theorem 1: Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.