# Triangle calculator SSS

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.The Law of Cosines states that:

c

^{2}= a

^{2}+ b

^{2}- 2ab * cos(C)

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. You can use this formula to find the measure of each angle by plugging in the known side lengths and solving for the angle.

Once you have the measures of the angles, you can use trigonometric functions like Sine and Cosine to find the area of the triangle.

Another way to find the area of a triangle when you know the lengths of all 3 sides is to use Heron's Formula. Heron's formula states that:

Area = √(s(s-a)(s-b)(s-c))

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.

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.

If you know the special property of a triangle, use an equilateral triangle, isosceles or right triangle calculator.

### Triangle SSS questions:

- Sss triangle

Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm - Triangle SSS

Calculate the perimeter and area of a triangle ABC if a=40, b=35, and c=55. - Sss triangle 2

Construct triangle ABC in which |AB|=5cm, |AC|=6cm and |BC|=9cm - Medians

Calculate 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. - RT sides

Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. - Rectangular triangles

The lengths of corresponding sides of two rectangular triangles are in the ratio 2:5. At what ratio are medians relevant to hypotenuse these right triangles? At what ratio are the areas of these triangles? A smaller rectangular triangle has legs 6 and 8 c - Lunes of Hippocrates

Calculate the sum of the area of the so-called Hippocratic lunas, which were cut above the legs of a right triangle (a = 6cm, b = 8cm). Instructions: First, calculate the area of the semicircles above all sides of the ABC triangle. Compare the sum of the - Circumscribing

Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm. - RTriangle 17

The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs. - An isosceles 2

An isosceles triangular frame has a measure of 72 meters on its legs and 18 meters on its base. Find the perimeter of the frame. - Right angled

We built a square with the same area as the right triangle with legs 12 cm and 20 cm. How long will be the side of the square? - Catheti

The hypotenuse of a right triangle is 41, and the sum of legs is 49. Calculate the length of its legs. - Right angled triangle

The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs. - Right triangle

Right triangle legs have lengths 630 mm and 411 dm. Calculate the area of this triangle. - Area of RT 2

Calculate the area of a right triangle whose legs have a length of 6.2 cm and 9.8 cm.

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#### Look also at our friend's collection of math problems and questions:

- triangle
- right triangle
- Heron's formula
- The Law of Sines
- The Law of Cosines
- Pythagorean theorem
- triangle inequality
- similarity of triangles
- The right triangle altitude theorem