. Which of the following triangles are not possible? (More than one choices can be made)
2 points
A scalene right angled traingle
An obtuse angled equilateral triangle
An acute angled isosceles triangle
An obtuse angled right triangle
Answers
Answer:
an obtuse angled right triangle
Step-by-step explanation:
Concept: A right triangle is a triangle with a right angle at one of its vertices.
Solution: An obtuse angle is an angle greater than 90⁰. As we know the sum of angles of an triangle must be 180⁰. If there is an obtuse angle in a triangle the rest two will be cute angle i.e., leas than 90⁰. So either a triangle can have a right angle or an obtuse angle, both cannot co-exist.
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The triangles which are NOT possible are an obtuse angled equilateral triangle and an obtuse angled right triangle.
An obtuse angled triangle is a triangle in which one of it's angles is an obtuse angle.
An obtuse angled triangle is a triangle in which one of it's angles is an obtuse angle.An obtuse angle is an angle which is between 90° and 180°.
Case 1 - Obtuse angled equilateral triangle.
In an equilateral triangle all three of the sides and all three angles are equal. Each of the angle equals to 60°. Thus having an angle above 90° is impossible since it makes it a not equilateral triangle.
case 2- Obtuse angled right triangle.
The sum of the angles of a triangle is 180°. The degree of a right angle is 90° and an obtuse angle is more than 90°. The sum of these two angles on it's own exceeds 180° and thus third angle cannot be drawn. Thus it cannot be a triangle.
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