How To Solve Triangle Problems

Note: Unless you are told to give your answer in decimal form, or to round, or in some other way not to give an "exact" answer, you should probably assume that the "exact" form is what they're wanting.For instance, if they hadn't told me to round in the exercise above, my value for the height should have been the value with the radical. That width will be twice the base of one of the right triangles.Step-by-step explanations are provided for each calculation.

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Give it a try, and check to see if you got the correct answer.

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. It also allows us to solve any triangle for a missing side or angle. We use the parts that contain the information we have and the information that we need to find.

The two angles make a straight line and therefore have a sum of 180°.

To determine to measure of the unknown angle, be sure to use the total sum of 180°.

Once you've learned about trigonometric ratios (and their inverses), you can solve triangles.

Naturally, many of these triangles will be presented in the context of word problems.

Here, we see we are given two sides, one angle, and we need to find another angle. Plugging in the information that we have, we get this - 4.7/sin A = 5.5/sin 63.

Set up an equation using the sine, cosine or tangent ratio Since we want to know the length of the hypotenuse , and we already know the side opposite of the 53° angle, we are dealing with sine $$ sin(67) = \frac \ sin(67) = \frac $$ Now, just solve the Equation: Since we know 2 sides and 1 angle of this triangle, we can use either the Pythagorean theorem ( by making use of the two sides ) or use sohcahtoa (by making use of the angle and 1 of the given sides) Chose which way you want to solve this problem. The only thing you cannot use is sine, since the sine ratio does not involve the adjacent side, x, which we are trying to find.

That means that not only are two of the sides equal but two of the angles are also equal. Notice that this triangle gives an angle outside of the triangle.

Here is one method: Step 1: Determine the measure of the angle adjacent to 148°.

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