Solving Right Triangles

Austin Pittsley

Using the Pythagorean Theorem

Solving 45-45-90 Triangles

 

GIVEN A LEG:

If given a leg when solving a 45-45-90 triangle, you must know this ratio: x : x : x(square root)2. Since you are given a leg and x=x the two legs are the same. To find the hypotenuse you put the leg (or x) in front of the radical 2.

GIVEN THE HYPOTENUSE:

If given the hypotenuse when solving a 45-45-90 triangle, you still must know the same ratio as above.you must set the x(square root)2 equal to the leg x and divide by square root 2. The you have to multiply that by square root 2 over square root 2 to find your legs.

Solving 30-60-90 Triangles

GIVEN A LEG: If given a leg when solving a 30-60-90 triangle, you must know this ratio: x : x(square root) 3 : 2x. Since you are given a leg and you put the first leg in front of radical 3. To find the hypotenuse you multiply the first leg or x by 2.

GIVEN THE HYPOTENUSE:If given the hypotenuse when solving a 30-60-90 triangle, you still must know the same ratio as above.you must divide the hypotenuse by 2 to kind x.Then you put that leg or x in front the radical 3.

Trigonometry: Using Sine, Cosine, and Tangent

SINE: Opposite over hypotenuse

COSINE: Adjacent over hypotenuse

TANGENT: Opposite over adjacent

Using all of these calculations you have to pay attention to the theta so you know what calculation to use.   


Trigonometry: How to Solve for Angle Measures

1. Figure out if you use SOH, CAH, or TOA

2. put variables in equation

3. Solve

Work Cited

  • Mathisfun.com
  • Geometry Book
  • Google Images

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