# What is a triangle inscribed in a semicircle?

## What is a triangle inscribed in a semicircle?

Since a triangle inscribed in a semicircle is always a right triangle, triangle ABC is a right triangle. Therefore, AC is both the hypotenuse of triangle ABC and the diameter of the semicircle.

## What is the largest triangle that can be inscribed in a semicircle?

isosceles triangle
Approach: From the figure, we can clearly understand the biggest triangle that can be inscribed in the semicircle has height r. Also, we know the base has length 2r. So the triangle is an isosceles triangle.

What is the area of the largest triangle that can be inscribed in a semicircle?

2r2 sq. units.

### How many right triangle can be drawn in a semicircle?

Answer: three right triangle can be drawn in a semicircle..

### What shape is a semicircle?

A closed shape consisting of half a circle and a diameter of that circle*. A semicircle is a half circle, formed by cutting a whole circle along a diameter line, as shown above. Any diameter of a circle cuts it into two equal semicircles. * An alternative definition is that it is an open arc.

What is the maximum possible area of a triangle that can be inscribed in a semi circle of radius r units?

r2 2r
The area of the largest triangle that can be inscribed in a semi-circle of radius ‘r’ is: r2. 2r2.

2r2 cm2.

## What will be the area of the largest triangle inscribed in a semicircle of radius 8?

Area of tiangle=64 square centimetre. HOPE IT HELPS!!

Why is a triangle inscribed in a semicircle always a right triangle?

The inscribed angle is formed by drawing a line from each end of the diameter to any point on the semicircle. No matter where you do this, the angle formed is always 90°. The triangle formed by the diameter and the inscribed angle (triangle ABC above) is always a right triangle.

### Does a semicircle have corners?

There are 2 square corners in a semi circle.

### What shape is a triangle?

In geometry, a triangle is a closed, two-dimensional shape with three straight sides. A triangle is also a polygon.

What type of triangle is inscribed in a semicircle?

Triangle Inscribed in a Semicircle The triangle ABC inscribes within a semicircle. The angle at vertex C is always a right angle of 90°, and therefore the inscribed triangle is always a right angled triangle providing points A, and B are across the diameter of the circle.

## What are the angles in a semicircle?

Angles in a semicircle. When a triangle is formed inside a semicircle, two lines from either side of the diameter meet at a point on the circumference at a right angle. The angle in a semicircle is a right angle of .

## How do you find the largest triangle in a semicircle?

Finding the maximum area, or largest triangle, in a semicircle is very simple. At first you might think that there is not enough information, but remember that they want the maximum area. The triangle is the largest when the perpendicular height shown in grey is the same size as r. This is when the triangle will have the maximum area.

What type of triangle is formed by diameter and inscribed angle?

The triangle formed by the diameter and the inscribed angle (triangle ABC above) is always a right triangle. This is a particular case of Thales Theorem, which applies to an entire circle, not just a semicircle.