Help Solve Lengths of Sides
Level 3
Trig Triumph Game Trigonometry Help
Right Triangles
Find the lengths of sides of a right triangle with the calculator and the Pythagorean Theorem.
The Pythagorean Theorem is a2
+ b2
= c2
.
Where c
is the hypotenuse. a
, and b
are the other legs of a right triangle.
For example find the length of
c
, when given the length of a
and b
.
First, square the length of a
, and save the value.
Second square the length of b
, and save the value.
Third add a2
and b2
together to
obtain c2
. Finally find the square root of c2
.
The square root of c2
equals your answer, the length of leg c
.
Suppose you only have the lengths of the hypotenuse c
, and one leg of the
right triangle a
.
The hypotenuse is always longer than the other legs of a right triangle.
Subtract a2
from c2
,
to obtain a positive number. The square root of a negative number is not a valid length.
Your answer equals the square root of (c2
- a2
).
The calculator processes values for trigonometric functions with degrees, rather than radians. The game's answers are rounded to three decimal precision. In other words, a maximum of three digits display after the decimal point.
Scoring
Receive 30 points for each correct answer. Level 3 includes 10 questions. The maximum score for level 3 equals 300 points.
Post Your Score Online
Select the Post Score
button to post your score online.
See how your score compares to others in the Trig Triumph Hall of Fame.
Rounding Errors
Trig Triumph rounds the final
answer to the nearest thousandth (3 digits after the decimal point).
Often rounding each step in a series introduces rounding errors
.
The final result may be too high, when more than one step in the series rounds up
.
The final result may be too low, when more than one step in the series rounds down
.
Therefore don't round numbers while playing. The Trig Triumph game rounds the final result. If you don't need a calculate for the final answer, then round to the nearest thousandth. The Trig Triumph game allows for small rounding differences. However it's helpful to understand for future math projects.
Reset Level Three
Select the Reset
button at the bottom of the page, to
begin this level again. Reset
allows you to play the
level over again and increase your score. Reset
assigns zero to
your score for this level, then displays the first question for this level.
Trigonometry Help
Read short trigonometry tutorials.
Each tutorial also leads to a level of the Trig Triumph
game.
Play the game level to learn the section while
also having a little fun.
Trigonometry helps programmers, engineers, scientists, teachers, and students. Trigonometry provides a foundation with mathematics required for game programming, science, technology, engineering, and math (STEM).
Love learning trigonometry with tutorials, games and graphics!