Obtuse Triangle Example Math

A triangle where one angle is greater than 90 is an obtuse angled triangle.

Obtuse triangle example math. The side opposite the obtuse angle in the triangle is the longest. Therefore an obtuse angled triangle can never have a right angle. Interior angle abc 96 which is more than 90 so it s an obtuse angle. An acute triangle or acute angled triangle is a triangle with three acute angles less than 90.

Math explained in easy language plus puzzles games quizzes videos and worksheets. The sum of the measures of the angles in any triangle is 180 so if one of the angles in the triangle is an obtuse angle the sum of the other. Triangle abc above is classified as an obtuse triangle since angle a is between 90 and 180. C 2 9 2 81.

It is not possible for a triangle to have more than one obtuse angle. In this example the triangle qpr contains an obtuse angle. A triangle where one angle is greater than 90 is an obtuse angled triangle. Here are some examples.

Hangars found in cupboards. Right scalene obtuse scalene right isosceles obtuse isosceles acute isosceles. A 2 b 2 6 2 6 2 72. Delta text abc has these angle measures angle text a 120 circ angle text a 40 circ angle text a 20 circ this triangle is an obtuse angled triangle because angle text a 120 circ.

For k 12 kids teachers and parents. Delta text abc has these angle measures angle text a 120 circ angle text a 40 circ angle text a 20 circ this triangle is an obtuse angled triangle because angle text a 120 circ. Obtuse angled triangles in real life. Assify each triangle by the most accurate classification.

Thus a triangle denoted by qpr is constructed geometrically. Since a triangle s angles must sum to 180 in euclidean geometry no euclidean triangle can have more than one obtuse angle. In triangle abc interior angle acb 37 which is less than 90 so it s an acute angle. Plugging this into the pythagorean theorem where c 9 and a and b 6.

Side ab above is the longest side. Is triangle abc an obtuse triangle. An obtuse triangle or obtuse angled triangle is a triangle with one obtuse angle greater than 90 and two acute angles. Therefore the triangle qpr is called an obtuse triangle.

In our surroundings we can find many examples of obtuse triangles. Triangle shaped roofs. Triangle abc is a perfect example to study the triangle type obtuse. Since a 2 b 2 c 2 abc is an obtuse triangle with obtuse angle c.

Since a right angled triangle has one right angle the other two angles are acute.