What is a Obtuse Angle What is a Obtuse Angle Obtuse angles are one of the types of angles in mathematical geometry. Obtuse angle is an angle which has a minimum value of 90 degree and a maximum value of 180 degree. That is it always lies between 90 degree and 180 degree. The notation of an obtuse angle is 90 < < 180 degree. In this article, we will learn more about obtuse angles and some example problems on Obtuse Angles. What is Obtuse Angle Here UVW is an obtuse angle. Its measurement is equal to â&#x2C6; UVW = 150 degree. It is also denoted as â&#x2C6; V = 150 degree. Here, V is called as the vertex and the straight sides UV and VW are denoted as the arms of the angle. The angles are categorized based on the position of the arms. is the symbol that is used to denote an angle and its units are mentioned as degrees. Example Problems on Obtuse Angles Below are some example problems on obtuse angles Example 1: Verify the following angles and help to identify the type of an obtuse angle Know More About Define Parallel Lines Math.Tutorvista.com
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-- 67 degree -- 73 degree -- 116 degree -- 310 degree Solution : The answer is 116 degree. 116 degree is an obtuse angle. Because, it is greater than 90 degree and less than 180 degree. Example 2 : Verify the following angles and help to identify the type of an obtuse angle -- 10 degree -- 320 degree -- 15 degree -- 129 degree Solution : The answer is choice 129 degree. 129 degree is an obtuse angle. Because, it is greater than 90 degree and less than 180 degree. Example 3 : Verify the following angles and help to identify the type of an obtuse angle -----
168 degree 393degree 19 degree 190 degree
Solution : The answer is choice 168 degree. 168 degree is an obtuse angle. Because, it is greater than 90 degree and less than 180 degree.
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How to Find the Centroid of a Triangle How to Find the Centroid of a Triangle The centroid of a Triangle is the centre of the triangle, which is the point of intersection of all the three medians of a triangle. If we have an object, then we can say that the centroid of that object is its centre. The centroid of the triangle separates the median in the ratio 2:1. The centroid of a triangle can be got by finding the average of the x-coordinateâ&#x20AC;&#x2122;s value and the average of the y-coordinateâ&#x20AC;&#x2122;s value of all the vertices of the triangle. Centroid of a Triangle Formula In the figure shown below, the three vertices of the triangle are , and If , and are the vertices of a triangle then the centroid of the triangle is Centroid of a Triangle Solved Examples Below are few examples based on centroid of a triangle Example 1: Calculate the centroid of the triangle whose vertices are A(4, 8), B(2, 6) and C(0, 10). Solution: Given that the vertices are A(4, 8), B(2, 6) and C(0, 10) Math.Tutorvista.com
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A(4, 8) is B(2, 6) is C(0, 10) is The formula to calculate the centroid of the triangle is The centroid of the triangle with vertices A(4, 8), B(2, 6) and C(0, 10) is (2, 8). Example 2: Calculate the centroid of the triangle whose vertices are A(5, 4), B(6, 1) and C(9, 0). Solution: Given that the vertices are A(5, 4), B(6, 1) and C(9, 0). A(5, 4) is B(6, 1) is C(9, 0) is The formula to calculate the centroid of the triangle is The centroid of the triangle with vertices A(5, 4), B(6, 1) and C(9, 0)is (6.67, 1.67). Example 3: Calculate the centroid of the triangle whose vertices are A(-5, 5), B(5, 5) and C(0, -5). Solution: Given that the vertices are A(-5, 5), B(5, 5) and C(0, -5) A(-5, 5) is B(5, 5) is C(0, -5) is The formula to calculate the centroid of the triangle is The centroid of the triangle with vertices A(-5, 5), B(5, 5) and C(0, -5) is (0, 1.67). Read More About Equation of Hyperbola
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Thank You
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