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2020-07-28

Can many triangular shapes be circumscribed about a given circle?

Can many triangular shapes be circumscribed about a given circle?

a) Many triangular shapes can be circumscribed about a given circle. This is not true, as only one circle with a fixed radius can be inscribed about…

What do you use to circumscribe a circle about a triangle?

Circumscribe a Circle on a Triangle

  1. Construct the perpendicular bisector of one side of triangle.
  2. Construct the perpendicular bisector of another side.
  3. Where they cross is the center of the Circumscribed circle.
  4. Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!

How many triangles can be inscribed in a circle?

Every circle has an inscribed triangle with any three given angle measures (summing of course to 180°), and every triangle can be inscribed in some circle (which is called its circumscribed circle or circumcircle).

Can triangles make a circle?

“A circle may be considered as made up of triangles whose bases form the circumference, and whose altitude is the radius (1/2 diameter) of the circle.” This is clearly shown by the cut at the left.

How do you find the perimeter when one side is missing?

The length of one side is missing. To find the missing side length, write an addition sentence for the perimeter of the shape. The perimeter of a shape equals the sum of all of its side lengths. Add the lengths of the sides you know.

How many angles does an obtuse triangle have?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

Which of the following are the angles of a triangle?

In a Euclidean space, the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °, π radians, two right angles, or a half-turn.

What is the relationship between angles and sides of a triangle?

Relationship between sides and angles. In any triangle, the largest side and largest angle are opposite one another. In any triangle, the smallest side and smallest angle are opposite one another. In any triangle, the mid-sized side and mid-sized angle are opposite one another.

What is the rule for the sides of a triangle?

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. See the side lengths of the acute triangle below. The sum of the lengths of the two shortest sides, 6 and 7, is 13.

What is the relationship between sides and angles for isosceles triangle?

. 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.