Acute Angle Triangle- Definition, Properties, Formulas, Questions

when the angles of the triangle are measured to be less than 90° then they are termed to be the acute angle triangle. Equilateral triangles are considered to be acute triangles as they have a sum total of 60° + 60° + 60 degrees. The longest side of the acute triangle is considered to be that side which is opposite to the highest angle present in the Triangle. Isosceles triangles and Scalene triangles can also be considered acute triangles. An acute angle triangle always contains an interior angle to be less than 90°. The line constructed from the base of the triangle and up to the opposite vertex is found to be perpendicular to the base in the acute angle triangle.

Types of Acute angle triangle

1. Scalene acute angle triangle

The angle whose angle is found to be less than 90° degrees but has no equal sides is termed to be a scalene acute angle triangle.

2. Isosceles acute angle triangle

The angle whose angle is found to be less than 90° and possesses two equal sides are termed to be an isosceles acute angle triangle.

3. Equilateral acute angle triangle

The angle whose angle is found to be less than 90° and possesses three equal sides are termed to be an equilateral acute angle triangle. Equilateral triangles are considered to be acute triangle as they have a sum total of 60° + 60° + 60 degrees.

Degrees of acute angle triangle

An acute angle triangle degree measures less than that of the 90°.

There are many examples of acute angle triangle degrees such as 65° and 80°.

Commonly we can say that the acute angle triangle lies between 0° and 90°.

Properties of the acute angle triangle

• When we talk about the acute angle triangle then we find out that the measurement of the interior angles of the acute angle triangle is found to be 90 degrees.

• In an acute angle triangle, the angle that is opposite to the largest side is considered to be the largest angle.

• In an acute angle triangle, the angle that is opposite to the smallest side is considered to be the smallest angle.

• In an acute angle triangle, the square of the largest side of the triangle is found to be equal to the sum of squares of the other smaller sides of the triangle.

• The orthocentre and Circumcentre in the case of the acute angle triangle are observed to be present in the interior of the triangle.

The perimeter of acute angle triangle

The perimeter of the acute angle triangle is defined as to be the sum of the total sides of an acute angle triangle. consider there are three different heights of an acute triangle namely a, b and c, then the perimeter is found out to be the sum of a, b and c sides

Perimeter = a+b+c