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## Can the altitudes of a triangle intersect outside the triangle?

1 Answer. **The lines containing the altitudes of a obtuse triangle intersect outside the triangle.**

## Where do the altitudes of an acute triangle intersect?

The three altitudes of a triangle intersect at **the orthocenter**, which for an acute triangle is inside the triangle.

### What are Altitudes in a Triangle? (In depth explanation) | Don’t Memorise

### Images related to the topicWhat are Altitudes in a Triangle? (In depth explanation) | Don’t Memorise

## Does an altitude bisect the angle?

**The isosceles triangle altitude bisects the angle of the vertex** and bisects the base. It should be noted that an isosceles triangle is a triangle with two congruent sides and so, the altitude bisects the base and vertex.

## Will an altitude always lie in the interior of a triangle?

**No, it is not necessary** an altitude may lie outside of triangle also.

## Where is the altitude of a triangle?

An altitude of a triangle is **the perpendicular segment from a vertex of a triangle to the opposite side** (or the line containing the opposite side). An altitude of a triangle can be a side or may lie outside the triangle.

## Is the altitude of a triangle the same as the height?

The altitude of a triangle is the perpendicular line segment drawn from the vertex of the triangle to the side opposite to it. The altitude makes a right angle with the base of the triangle that it touches. **It is commonly referred to as the height of a triangle** and is denoted by the letter ‘h’.

### Altitude of a Triangle – Finding The Orthocenter

### Images related to the topicAltitude of a Triangle – Finding The Orthocenter

## See some more details on the topic Do altitudes of an acute triangle intersect outside the triangle? here:

### Altitude (triangle) – Wikipedia

The three altitudes of a triangle intersect at the orthocenter, which for an acute triangle is inside the triangle. Altitudes can be used in the computation of …

### Where can the lines containing the altitudes of a obtuse …

The point, at which the lines containing the altitudes of a obtuse triangle intersect called orthocenter, is always outside the triangle.

### Orthocenter of a triangle – math word definition

It turns out that all three altitudes always intersect at the same point – the so-called orthocenter of the triangle. The orthocenter is not always inside the …

### Altitudes ( Read ) | Geometry | CK-12 Foundation

When a triangle is a right triangle, the altitude, or height, is the leg. If the triangle is obtuse, then the altitude will be outside of …

## Does an altitude always bisect the opposite sides of a triangle?

**No, not in general**. Theorem: Altitude AD bisects side BC of triangle ABC precisely when ABC is isosceles with AB=AC.

## Does an altitude bisect the side of an equilateral triangle?

**Yes, the altitude of an equilateral triangle bisects the base**.

## What are the properties of altitude of a triangle?

Properties of Altitudes of a Triangle

**The altitude is the shortest distance from the vertex to its opposite side**. The 3 altitudes always meet at a single point, no matter what the shape of the triangle is. The point where the 3 altitudes meet is called the ortho-centre of the triangle.

## Which triangle has its altitude outside the triangle?

∴ The **obtuse angle triangle** always has altitude outside itself.

## Which term describes the point where three altitudes of a triangle intersect?

The three angle bisectors of a triangle intersect at a single point. The point of concurrency of the angle bisectors is called the incenter. The three altitudes of a triangle are concurrent. The point of concurrency is called **the orthocenter**.

### Drawing Triangle Altitudes – acute obtuse

### Images related to the topicDrawing Triangle Altitudes – acute obtuse

## Can you think of a triangle in which two altitudes of the triangle are two of its sides?

Yes, the above given statement is true in case of a **right-angled triangle** where two altitudes of the triangle are two of its sides.

## Can the altitude and median be the same for a triangle?

**The altitude and median are not the same in a triangle**. An altitude is a perpendicular bisector on any side of a triangle and it measures the distance between the vertex and the line which is the opposite side whereas, a median is a line segment that connects a vertex to the central point of the opposite side.

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