SohCahToa Project
Detail 4
Theta
- θ is a variable that represent the angle.
Real World Problem
Joe and Ben went jogging 5 miles north and then 3 miles west. How far did they travel from their starting point?
Opposite is always across from theta.
x
5
a2 + b2 = c2
3^2 + 5^2 = c2
9 + 25 = 34
34
opposite
hypotenuse
3
Leg
x = 17 miles
adjacent
- The legs are the two shortest side of the triangle.
- The legs of the right triangle are perpendicular to each other.
3 Basic Ratios
Sin (soh) : Opposite/Hypotenuse
Cos (cah) : Adjacent/Hypotenuse
Tan (toa) : opposite/Hypotenuse
Detail 1
Pythagorean Theorem
The sum of the areas of the two on the legs (a and b) equals the area of the hypotenuse.
a2 + b2 = c2
Detail 2
- c is the longest side of the triangle.
- a and b are the other two sides.
a2 + b2 = c2
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
3
5
4
Detail 3
trigonometric is a 3 side angles.
- Adjacent Leg : Adjacent is always next to the angle.
- Opposite Leg: Always across from the angle.
- Hypotenuse: Longest side of a right triangle.
example:
by : Tram Nguyen