Is Bd Simultaneously The Altitude And Median Of Abc Triangle?

## In The Adjoining Figure, \\( A C \\) Is The Median As Well As Altitude To \\( B D \\). In \\( \\Triang…

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## Is An Altitude In Triangle Abc?

An altitude in a triangle, denoted as AX in triangle ABC, is a line segment drawn from vertex A to a point X on the opposite side of the triangle. This altitude is perpendicular to the base formed by side BC. Altitudes play a crucial role in geometry, aiding in the determination of various properties of triangles, such as area and congruence. Understanding altitudes is fundamental for solving a wide range of geometric problems. For further assistance and a detailed explanation, you can refer to MathHelp.com’s Geometry Help video on YouTube titled “Altitude of a Triangle”.

## How Many Altitudes Can A Triangle Abc Have?

How many altitudes can a triangle ABC have? Altitudes in a triangle are represented by line segments that extend from each vertex and intersect the opposite side at a right angle, forming right triangles within the larger triangle. Since a triangle has three sides and three corresponding vertices, it can have three altitudes—one originating from each vertex and extending towards the opposite side, creating right angles where they intersect the side. Therefore, a triangle inherently possesses three altitudes due to its geometric properties.

## What Is Abc In A Triangle?

In the context of a right-angled triangle, denoted as triangle ABC, specific sides are given distinct labels to aid in understanding. The side that lies opposite to the right angle, which is angle C, is referred to as the hypotenuse and is labeled as ‘c.’ Meanwhile, to maintain a consistent convention, the side that opposes angle A is named ‘a,’ and the side opposite angle B is designated as ‘b.’ Consequently, these labels, ‘a,’ ‘b,’ and ‘c,’ help us unambiguously identify and work with the respective sides of triangle ABC.

## Found 33 Is BD is both the altitude and median of ABC then ABC is

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Answer: Δ ABC is an **isosceles triangle**.

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