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You can't. You must know at least one length and at least two angles, or vice versa.

Q: How do you solve the lengths of a triangle using only all the angles?

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the sum of the angles of a plane triangle is always 180° In an equilateral triangle, each of the angles is = Therefore, the angles of an equilateral triangle are 60°

Using the cosine formula the angle between lengths 8 and 12 is 55.77113367 degrees. Using the sine formula the area of the triangle is 39.68626966 or about 40 square units.

i think it would be 90 degrees and it would be a acute angle

If you do not know only a side length you cannot. If you know all three side lengths then you can use the cosine rule. You can continue using the cosine rule for the other two angles but, once you have one angle, it is simpler to use the sine rule.

Yes they do for a triangle using Pythagorean theorem 5 squared + 12 squared = 13 squared

Related questions

By using the cosine rule in trigonometry the angles of the triangle can be worked out.

By using trigonometry

A protractor is used for measuring angles and the 3 angles in a triangle add up to 180 degrees.

All triangles have 3 sides and 3 interior angles that add up to 180 degrees. If you know the lengths of 2 sides of a triangle then the length of the 3rd side can be found by using trigonometry.

By using trigonometry that is applicable to a right angle triangle.

You must have more information about the triangle. If you know the angles, and two of them are equal, it is an isosceles triangle. If all three of the angles are sixty-degrees, it is an equilateral triangle. If none of the angles are the same, it is a scalene triangle. If one of the angles is ninety degrees, it is a right triangle (right triangles may also be scalene or isosceles). If you know the side lengths and two of them are equal, it is isosceles. If they are all equal, it is equilateral. If none of them are equal, it is scalene. A scalene or isosceles triangle may also be a right triangle, which you could determine from side lengths using the pythagorean theorem.

With trigonometry by using the cosine rule

With trigonometry by using the cosine rule

If its angles are 45, 45 and 90 degrees then it is an isosceles right angle triangle and its properties can be worked out using Pythagoras' theorem and trigonometry

If its angles are 45, 45 and 90 degrees then it is an isosceles right angle triangle and its properties can be worked out using Pythagoras' theorem and trigonometry

you must know more information. Like the lengths of 2 sides. Then using Trig (law of sines or law of cosines) you can find the remaining sides and angles.

The answer will depend on what other information you have. If, for example, the angle is in a triangle, and you know the lengths of all three sides, you can use the cosine rule.