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A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs. All triangles are convex and bicentric. That portion of the plane enclosed by the triangle is called the triangle interior, while the...
Triangle. A triangle is a 3-sided polygon. Triangle definition. A triangle is a closed, two-dimensional shape that has 3 sides, 3 angles, and 3 vertices. It is the polygon with the fewest sides. Since it is the simplest form of a polygon, any polygon can be constructed using two or more triangles.
So, the given triangle is a right angled triangle. Example 2: Identify the type of triangle on the basis of side. Solution: The triangle shown has two equal sides. So, this is an isosceles triangle. Example 3: Jim makes an equilateral triangle from a 165m long wire. Find the side length of the triangle made from the wire. Solution:
Triangles can be classified into different categories based on their sides and angles. For example, a triangle with one angle of measure \(90^\circ\) is known as a right triangle, while a triangle with sides of all equal length is known as an equilateral triangle. These classifications and many others are explored in the wiki linked above.
You may come across triangle types with combined names like right isosceles triangle and such, but this only implies that the triangle has two equal sides with one of the interior angles being 90 degrees. The figure given below illustrates a right triangle. In the above triangle, one among the three angles is 90 degrees, thus it is a right ...
Sum of the measures of two angles = 75° + 60° = 135°. Using the properties of a triangle, we know that the sum of all three angles of triangle = 180°. Therefore, the measure of the third angle = 180° - 135° = 45°. Example 2: Tim wants to construct a triangle with the lengths of sides 5 cm, 4 cm, and 9 cm.
Rule 1: Interior Angles sum up to 1800 180 0. Rule 2: Sides of Triangle -- Triangle Inequality Theorem : This theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the third side. Rule 3: Relationship between measurement of the sides and angles in a triangle: The largest interior angle and side are ...
