WHAT IS ACUTE ANGLE TRIANGLE

An acute-angled triangle is a type of triangle in which all the three internal angles of the triangle are acute, that is, they measure less than 90°

An acute angle triangle (or acute-angled triangle) is a triangle in which all the interior angles are acute angles. To recall, an acute angle is an angle that is less than 90°.

Example: Consider ΔABC in the figure below. The angles formed by the intersection of lines AB, BC and CA are ∠ABC, ∠BCA, and ∠CAB, respectively. We can see that,

∠ABC = ∠B = 75°

∠BCA = ∠C = 65°

∠BAC = ∠A = 40°

If all the internal angles of a triangle are less than 90 degrees is called an acute angle triangle.

Properties of Acute Triangles

• All equilateral triangles are acute triangles. An equilateral triangle has three sides of the same length and three angles of the equal measure, i.e. 60°
• Opposite the highest angle is the longest side of an acute triangle
• Acute triangles can be isosceles, equilateral, or scalene