Use the following formula to solve the vertex angle: The base angle α is equal to 180° minus vertex angle β, divided by 2. Use the following formula to solve the base angle: Given any angle in an isosceles triangle it is possible to solve the other angles. How to Calculate the Angles of an Isosceles Triangle The leg length a is equal to the square root the height h squared plus the base b divided by 2, squared. Use the following formula to solve the length of the legs: The base length b is equal to 2 times the square root of leg a squared minus the height h squared. Use the following formula to solve the length of the base edge: Given the height, or altitude, of an isosceles triangle and the length of one of the legs or the base, it’s possible to calculate the length of the other sides. How to Calculate Edge Lengths of an Isosceles Triangle We have a special right triangle calculator to calculate this type of triangle. Try our equilateral triangle calculator.Ī right isosceles triangle is a triangle with a vertex angle equal to 90°, and base angles equal to 45°. An equilateral triangle is a special case where all the angles are equal to 60° and all three sides are equal in length. There are four types of isosceles triangles: acute, obtuse, equilateral, and right.Īn acute isosceles triangle is a triangle with a vertex angle less than 90°, but not equal to 60°.Īn obtuse isosceles triangle is a triangle with a vertex angle greater than 90°.Īn equilateral isosceles triangle is a triangle with a vertex angle equal to 60°.
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