what is known as acute-angled triangle,obtuse-angled triangle and right angled triangle?
Answers
Answer:
Step-by-step explanation:
An acute triangle is defined as a triangle in which all of the angles are less than 90°. In other words, all of the angles in an acute triangle are acute.
An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It's impossible for a triangle to have more than one obtuse angle.
A right triangle, (also called a right-angled triangle), has one angle that is 90 degrees. The other two angles always add up to 90 degrees but can be different sizes. The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle.
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Step-by-step explanation:
1) If all angles are acute in a triangle then it is an acute angled triangle.
ex:70°,60°,50°
2)If one angle is an obtuse angle it is an obtuse angled triangle.
ex:120°,40°,20°
3)If one angle is a right angle then the triangle is a right angled triangle
Ex:90°,25°,65°
x is an acute ,if 0°<x<90°
x is an obtuse,if 90°<x<180°x is a right angle, if x=90°