
How many acute angles can an isosceles triangle have?
Answer
479.1k+ views
1 likes
Hint: Triangle types are defined by angle and length properties. It is possible to calculate the missing angles of a triangle easily if you know what type it is. The sum of angles in any triangle is . On a diagram, equal sides of a triangle have one small line or dash drawn on each side.
Complete step-by-step solution:
Definition: (Isosceles triangle)
An isosceles triangle is a triangle that has two sides of equal length.
Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
The two equal sides are called the legs and the third side is called the base of the triangle.
The other dimensions of the triangle such as its height, area, and perimeter can be calculated by simple formulas from the lengths of the legs and base.
What is Acute angle?
An acute angle is less than
How many acute angles can an isosceles triangle have?
All isosceles triangles have two acute angles. Because the sum of the interior angles of a triangle must be .Acute angle is less than degrees. Any two angles of a triangle must have a sum of less than degrees.
We require two equal angles for any isosceles triangle. The sum of these two must be less than degrees so any one of these two angles must be less than degrees, meaning “acute”
Diagram:
Note: Every isosceles triangle has an axis of symmetry along the perpendicular bisector of its base.
The two angles opposite the legs are equal and are always acute, so the classification of triangle as acute, right or obtuse depends only on the angle between its two legs.
Area of isosceles triangle
Perimeter of isosceles triangle
Complete step-by-step solution:
Definition: (Isosceles triangle)
An isosceles triangle is a triangle that has two sides of equal length.
Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
The two equal sides are called the legs and the third side is called the base of the triangle.
The other dimensions of the triangle such as its height, area, and perimeter can be calculated by simple formulas from the lengths of the legs and base.
What is Acute angle?
An acute angle is less than
How many acute angles can an isosceles triangle have?
All isosceles triangles have two acute angles. Because the sum of the interior angles of a triangle must be
We require two equal angles for any isosceles triangle. The sum of these two must be less than
Diagram:

Note: Every isosceles triangle has an axis of symmetry along the perpendicular bisector of its base.
The two angles opposite the legs are equal and are always acute, so the classification of triangle as acute, right or obtuse depends only on the angle between its two legs.
Area of isosceles triangle
Perimeter of isosceles triangle
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
What is the Full Form of ISI and RAW

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Name 10 Living and Non living things class 9 biology CBSE

Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
