The "Introduction" reviews the
Pythagorean theorem. "Naming Sides" reviews
the trigonometry triangle names required to use "Soh
Cah Toa". The "Practice" section has 5
sections of problem types. For this activity complete
problem types 1 - 3. The activity below this one focuses
on the same 3 problem types.
Problem Types 1-3: Pythagorean Theorem.
Problem Types 4-6: Calculate the sine, cosine and tangent
ratios given one reference angle.
Problem Types 7-9: Calculate the sine, cosine and tangent
ratios given two appropriate sides.
Problem Types 10-12: Calculate the reference angle given
two appropriate sides.
Problem Types 13-18: Calculate the length of one of
the sides given appropriate side and reference angle.
You may already have learned to calculate the third side
when the other two sides of a right triangle are known using
the Pythagorean Theorem. The link
above provides an applet that helps us understand this formula
in the simplest form. The sum of the area of the two
small squares (a2 + b2)
equals (=) the big square (c2).
To use this theorem, label the sides of the right
triangle a, b, c. Each
of the sides are opposite the angle with the corresponding
letter.
The "Introduction" reviews the Pythagorean
theorem. "Naming Sides" reviews the trigonometry
triangle names required to use "Soh Cah Toa". The
"Practice" section has 5 sections of problem types.
For this activity complete problem types 13 - 18. The activity
below this one focuses on the same 6 problem types.
Problem Types 1-3: Pythagorean Theorem.
Problem Types 4-6: Calculate the sine, cosine and tangent
ratios given one reference angle.
Problem Types 7-9: Calculate the sine, cosine and tangent
ratios given two appropriate sides.
Problem Types 10-12: Calculate the reference angle given
two appropriate sides.
Problem Types 13-18: Calculate the length of one
of the sides given appropriate side and reference angle.
The next section has 9 types of problems.
3 are devoted to Pythagoras's Theorem and 6 involve the
trigonometry functions listed above. Click the buttons
above if you need help on one of the trigonometry functions.
Click Reload/Refresh if the calculator
does not display properly.
Triangles
also have sides. If you know the length of two sides
of a right triangle, you do not need to
use trigonometry.
The next section has 9 types of problems.
3 are devoted to Pythagoras's Theorem and 6 involve the
trigonometry functions listed above. Click the buttons
above if you need help on one of the trigonometry functions.