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The sides and angles of a triangle are generally described using a,b,c for the three sides and A for the angle opposite side a, B for the angle opposite side b and C for the angle opposite side c.

Then use the Sine Rule provided that one of the given angles is opposite the given side.

a/Sin A = b/Sin B = c/Sin C

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Q: How do you find the length of one side of a triangle if only one side and two angles are given?
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Continue Learning about Other Math

How do you find the measures of a right triangle if the length and width are given?

The answer will depend on whether the length is the hypotenuse or one of the legs of the triangle.


How do you find the angle of a right triangle with the length of two legs?

-- Like every triangle, a right triangle has three interior angles.-- Unlike any other triangle, one of the angles in a right triangle is a right angle.The other two are both acute angles.-- One acute angle is the angle whose cosine is length of one leg / length of hypotenuse-- Other acute angle is the angle whose sine is length of the same leg / length of the hypotenuse-- The length of the hypotenuse is the square root of [ (length of one leg)2 + length of other leg)2 ]


How do you find the hypotenuse when only one length is given?

If the only information you have is the length of one side of a triangle, there are an infinite number of triangles having that length. Since the hypotenuse is defined to be "The side opposite the right angle in a plane right triangle", you will need the length of the other side to find the hypotenuse using the Pythagorean theorem. Alternatively you need to know the other angles. Then you can use the appropriate trig function to find the length of the hypotenuse.


How do you find the area of a triangle with side lengths?

If you are only given the side lengths of a scalene triangle, it is impossible for you to find for the area, unless you are given more information... like the height of the triangle for example. If this is a right triangle you would like to find the area of, you can multiply the length of each leg with each other, and then divide that product by 2 to conclude the area of the triangle.


How do you find the in-center of a triangle?

To find the incenter of a triangle, you bisect two or more of the angles. The one spot where these two or more angles meet is called the incenter.

Related questions

How do you find the length of the other two sides of a triangle when given a hypotenuse?

Unless you are given atleast 2 other angles, there is no way to find them out.


How do you find out the height of a triangle if only the 3 angles are given?

It is impossible to find a triangle if only angle measures are given (all similar triangles have the same angles).


How do you find the perimeter of a triangle when two angles are given And one is a 90 degree angle?

Knowing only the angles of a triangle does not provide enough information to determine its perimeter. You must know the length of at least one side.


How do you find the length of the hypotenuse with two angles?

Two angles are not enough to define the length of anything in a triangle. You also need to know the length of one side.


How do you find the length of the sides of a triangle when you only know one side and no angles?

Measure them


How do you find the measures of a right triangle if the length and width are given?

The answer will depend on whether the length is the hypotenuse or one of the legs of the triangle.


How do you find angles on a right triangle?

You do not need to, if you have a right triangle that angle is 90* so the other 2 angles are 45* apiece. That is actually only partially accurate. There can be a right angled triangle with sides of 2-3-5. 5 being the hypotenuse in which the triangle's angles will not be 90-45-45 but 90-33.69-56.31. To find the angles of a right triangle, you will need to know the length of the sides. With the length of all three sides, you will need to utilize sine, cosine, and tangent to find the angles.


How do you find the length of a triangle when perimeter is given?

If the triangle is equilateral, you simply divide the perimeter by three to find the length of each side. If the triangle is not equilateral, you will need more information to determine the length of each side.


How do you find side of scalene triangle given a length and an angle?

You don't. It takes more than one side and one angle to determine a triangle. If you have two sides and the angle between them, or one side and two angles, you can do it.


How do you find the missing angle of a triangle if you are given two of the angles?

180 minus two known angles = unknown angle


How do you find the lengths of the legs of an isoceles triangle when given the angle?

With only the angle provided, you cannot find the lengths of the sides. The reason for this is that the isosceles triangle can be scaled up or down. If you had an isosceles triangle with a vertex of, say, 20 degrees, the other two angles would be 80 degrees each. This triangle could be constructed with the pair of congruent sides 10 centimeters long, 10 feet long, 10 miles long, or any length, and it would still have the same angles in its construction. Angles alone are insufficient to discover the length of the sides of an isosceles triangle.


How do you find angles of a scalene triangle?

The scalene triangles are weird because they are defined by what they aren't. The inside angles of a scalene triangle are always all different. If all three angles are different, then the triangle is scalene, and all the sides are different lengths. Imagine two angles are the same. The triangle would then be an Isosceles triangle, which has two sides the same length. If all three angles are the same, it would be an equilateral triangle and all three sides would be the same length.