Technology & Computing

By: Alistair WooldrigeUpdated: February 03, 2021

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- Last UpdatedOctober 03, 2022

If you find the middle of any side of a **triangle**, you have found its midpoint. From that midpoint, you can construct a line segment to the opposite interior angle. That constructed line from the midpoint of a side to the opposite interior angle is a **median**.

Herein, how many medians and altitudes Can a triangle have?

3 medians

Likewise, is Median always 90 degrees?

No , **Median** not **always** form a right angle to side on which it is falling , Only in case we have equilateral triangle or isosceles triangle's one **median** that is fall on non equal side of isosceles triangle .

Are all medians in a triangle congruent?

It should be easy to see that **all** three **medians** are **congruent**. because the midpoint of a segment divides that segment into two **congruent** segments. Thus, by the Side-Side-Side **triangle congruence** postulate. because corresponding parts of **congruent triangles** are **congruent**.

What is Incentre in Triangle?

The **Incenter** of a **triangle**

The point where the three angle bisectors of a A **midsegment of a triangle** is a segment connecting the midpoints of two sides of a **triangle**. This segment has two special properties. It is always parallel to the third side, and the length of the **midsegment** is half the length of the third side.

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). The length of the **altitude**, often simply called "the **altitude**", is the distance between the extended base and the vertex.

The definition of the **angle bisector of a triangle** is a line segment that bisects one of the vertex **angles** of a **triangle**. In general, an **angle bisector** is equidistant from the sides of the **angle** when measured along a segment perpendicular to the sides of the **angle**.

To **find** the **centroid of a triangle**, use the **formula** from the preceding section that locates a point two-thirds of the distance from the vertex to the midpoint of the opposite side. For **example, to find** the **centroid of a triangle** with vertices at (0,0), (12,0) and (3,9), first **find** the midpoint of one of the sides.

Hey there! Yes, the **median does lie wholly in the interior of the triangle**. From the given figure, you can see that no matter if it is a right-angled, obtuse-angled or acute-angled **triangle**, the medians **do lie** always in the **interior of the triangle**.

Medians. The **median** on the hypotenuse of a **right triangle** divides the **triangle** into two isosceles **triangles**, because the **median** equals one-half the hypotenuse.

The **perpendicular bisectors** of a **triangle** are lines passing through the midpoint of each side which are **perpendicular** to the given side. A **triangle's** three **perpendicular bisectors** meet (Casey 1888, p. 9) at a point. known as the circumcenter (Durell 1928), which is also the center of the **triangle's** circumcircle.

A **point of concurrency** is where three or more lines intersect in one place. Incredibly, the three angle bisectors, medians, perpendicular bisectors, and altitudes are concurrent in every triangle.

If you know the base and area of the **triangle**, you can divide the base by 2, then divide that by the area to **find the height**. To **find the height** of an equilateral **triangle**, use the Pythagorean Theorem, a^2 + b^2 = c^2.

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.

h = size of the class, f = Frequency corresponding to the **median** class. N = Summation of frequencies. **C** = The cumulative frequency corresponding to the class just before the **median** class.

The **circumcenter** is the center of a triangle's **circumcircle**. It can be found as the intersection of the perpendicular bisectors.

In geometry, the **altitude** is a line that passes through two very specific points on a triangle: a vertex, or corner of a triangle, and its opposite side at a right, or **90**-**degree**, angle. This is because it touches a vertex of the triangle.