Triangle SSS questions:Ĭalculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cmĬonstruct triangle ABC in which |AB|=5cm, |AC|=6cm and |BC|=9cmĬalculate the perimeter and area of a triangle ABC if a=53, b=46, and c=40.Ĭalculate the sides of a right triangle if the length of the medians to the legs are t a = 25 cm and t b=30 cm.įind the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. If you know the special property of a triangle, use an equilateral triangle, isosceles or right triangle calculator. Heron's formula allows you to find the area of a triangle even if you don't know the measures of the angles, and it works for any type of triangle, whether it's acute, right or obtuse. Where s is the semi-perimeter of the triangle, which is the sum of the three side lengths divided by 2, and a, b, and c are the lengths of the three sides of the triangle. Once you have the measures of the angles, you can use trigonometric functions like Sine and Cosine to find the area of the triangle.Īnother way to find the area of a triangle when you know the lengths of all 3 sides is to use Heron's Formula. You can use this formula to find the measure of each angle by plugging in the known side lengths and solving for the angle. Where c is the length of the side opposite angle C, a and b are the lengths of the other two sides, and C is the measure of the angle opposite side c. To calculate the properties of a triangle when given the lengths of all three sides, you can use the Law of Cosines to find the measure of each angle, and Heron's formula to find the area of the triangle.
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