Card 1 of 8
MediumStudy card 1
Prompt
What is the Pythagorean theorem?
Answer
In a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.
Pythagorean theorem
\[a^2+b^2=c^2\]
MathGeometry & Trigonometry
Flashcards
Right Triangle Trigonometry Flashcards
Recall right-triangle ratios, special triangles, and calculator checks.
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Card 1 of 8. Answer hidden.
Card 2 of 8
MediumStudy card 2
Prompt
How do you identify the hypotenuse?
Answer
It is opposite the right angle and is the triangle’s longest side.
Card 3 of 8
MediumStudy card 3
Prompt
What is sin θ in a right triangle?
Answer
Opposite leg divided by hypotenuse.
Sine ratio
\[\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\]
Card 4 of 8
MediumStudy card 4
Prompt
What is cos θ in a right triangle?
Answer
Adjacent leg divided by hypotenuse.
Cosine ratio
\[\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\]
Card 5 of 8
MediumStudy card 5
Prompt
What is tan θ in a right triangle?
Answer
Opposite leg divided by adjacent leg.
Tangent ratio
\[\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\]
Card 6 of 8
MediumStudy card 6
Prompt
Why can “opposite” and “adjacent” change?
Answer
They are named relative to the chosen acute reference angle; the hypotenuse does not change.
Card 7 of 8
HardStudy card 7
Prompt
What are the side ratios of 45-45-90 and 30-60-90 triangles?
Answer
1:1:√2 and 1:√3:2, respectively.
Card 8 of 8
MediumStudy card 8
Prompt
What calculator setting should SAT degree-angle problems use?
Answer
Degree mode; radian mode produces incorrect values for degree measures.
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