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To find the angle of the triangle opposite one of its sides, say side "a": Square the first side, a. Add the square of the second side, b to it. Subtract the square of the third side, c from the sum. Divide the difference by the length of second side. Divide the quotient by the length of first side. Divide the quotient by 2.
Jul 18, 2024 · Calculate the triangle side lengths if two of its angles are 60° each and one of the sides is 10 cm. The length of each side is 10 cm. Since two of the angles are 60° each, the third angle will be 180° - (60° + 60°) = 60°. As all the three angles are equal, the triangle is an equilateral triangle.
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Knowing only the lengths of two sides of the triangle, and no angles, you cannot calculate the length of the third side; there are an infinite number of answers. To illustrate, imagine that you have two fixed-length pieces of wood, and you drill a hole near the end of each one and put a nail through the hole.
In a right triangle, the side can be found using the Pythagorean theorem. The formula is: b = \sqrt {a^2+c^2} b = a2 + c2. where a, b and c are the lengths of the sides of the triangle, b is also known as the hypotenuse. You can rearrange the formula to solve for any of the sides. For example, to solve for side c, the formula becomes: c = \sqrt ...
Just like the Law of Sines, the Law of Cosines works for any triangle, not just right triangles. In particular, the Law of Cosines can be used to find the length of the third side of a triangle when you know the length of two sides and the angle in between. To use the Law of Sines to find a third side:
Answer: The length of the third side of the triangle is 7.63 units. Example 3: In triangle ABC, ∠C = 42° and ∠A = 33°, and the side opposite to angle C is 12.5 units. Find the length of the side of the triangle opposite to angle A. Solution: We have ∠C = 42° and ∠A = 33°, c = 12.5 units. We need to find the side 'a'.
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May 4, 2020 · If you know the length of any 2 sides of a right triangle you can use the Pythagorean equation formula to find the length of the third side. Calculator Use. This calculator solves the Pythagorean Theorem equation for sides a or b, or the hypotenuse c. The hypotenuse is the side of the triangle opposite the right angle. For right triangles only ...
