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with all the sides, you could use any, use SOH :

( sin of angle = opposite / hypotonuse)

assuming its a right angle triangle, then select either of the (non right angle) angles, divide the length of the side opposite this angle by the length of the hypotonuse ( longest side, opposite the right angle), then find the inverse SIN of this number on your calculator, this is the angle. Since total internal angles always = 180 degrees, and right angle = 90 degrees then final angle is calculated angle subtracted from 90 degrees.

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Q: How do you find the angle measurements of a triangle if you have all the side lengths- which SOH CAH TOA do i use?
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Continue Learning about Trigonometry

How do you find angle on triangle?

Given only the information provided in the question, the answer is to measure it.


What can you solve in the Pythagorean theorem?

Given the lengths of two sides of a right triangle, you can find the length of the other side.


How do you find sin of angle?

The sine of an angle is obtained from a right angle triangle. The other two angles are acute, or less than 90 degrees. The sin of the angle is the side opposite the angle divided by the hypotenuse.


How do calculators calculate Sin Cos and Tan of an angle without side lengths?

The relationship between an angle and the triangle formed by it is always constant. This is also why sin cos and tan obtained from the unit circle can be applied to all triangles with the same angle. All that matters is the ratio of the sides, so the calculator can "pick" any length for one side, and use that and the angle to find the other side(s). This answer will be the same regardless of which triangle you are specifically referring to. Side lengths 3 and 5 will produce the same trig values as sides 21 and 35. Also, given the processing power of most calculators, these values are often programmed in, similar to how many students are "programmed" to know the trig values for major angles such as pi, pi/4, 30deg, and 60deg.


How do you use trigonometry?

Various trigonometric functions, such as sine or cosine, show the relationship between the lengths of sides of a triangle and the angles between those sides. So trigonometry is used to calculate angles, lengths and distances using right triangles. Right triangles are those that have one angle of exactly 90 degrees. Example: You want to find the height of a tree. Measure off a fixed distance from the tree and measure the angle between the ground and the line-of-sight to the top of the tree. The height of the tree = the distance to the tree times the tangent of the angle between the tree and the ground, ie tan(x).

Related questions

How do you find the angle measurements of a isosceles triangle if you have no side lengths?

Use a protractor and 2 of its 3 interior angles should be equal in size


How do you find the side length on a triangle with one angle given?

To find side lengths on a triangle, you need to know at least one of the sides. The possible combinations for solving* a triangle are: side, side, side; side, angle, side; angle, side, angle; angle, side, longer side. *To solve a triangle is to find the lengths of all the sides and the measures of all the angles.


How do you find the legs of a 90 angle triangle?

Use Pythagoras' theorem if you know any two lengths of the triangle


How can you use ratios of the side lengths to find the angle measures of the acute angles in a right triangle?

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


Where is pythagorean theorem used?

To find the side lengths and hypotenuse of a right angle triangle.


How do you find angle measurements on a triangle when three sides are already given?

use a protractor.


How do you find the length of a side of a triangle which is not a right angled triangle given two lengths and an angle?

Depending on which sides and angle are known you would use one of the trigonometry functions.


How do you find the perimeter of a triangle with perpendicular height?

The height of a triangle alone is not enough information to find the perimeter. You need some angle measures or side lengths.


How do you find the lengths of the sides of a triangle where one angle equals 90 degrees?

If you know the lengths of two sides then use Pythagoras' theorem to find the third side.


What is the relations among sides and angles to find lengths and angle measurements?

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If Two angle measurements in a triangle are 35 and 77 Explain how to find the third angle measure in the triangle?

The sum of the three angles of a triangle will always be 180 degrees. So to find the third angle, one must take 180 - 35 - 77. The answer would be 68


How do you find a triangle congruent by cpctc?

A triangle if not found congruent by CPCTC as CPCTC only applies to triangles proven to be congruent. If triangle ABC is congruent to triangle DEF because they have the same side lengths (SSS) then we know Angle ABC (angle B) is congruent to Angle DEF (Angle E)