Properties of Right Triangles - SAT Math
Card 0 of 13
Define cosine in a right triangle.
Define cosine in a right triangle.
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$\cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}$.
$\cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}$.
Define sine in a right triangle.
Define sine in a right triangle.
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$\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}$.
$\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}$.
Define tangent in a right triangle.
Define tangent in a right triangle.
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$\tan \theta = \frac{\text{opposite}}{\text{adjacent}}$.
$\tan \theta = \frac{\text{opposite}}{\text{adjacent}}$.
Find $\sin \theta$ if opposite = 5, hypotenuse = 13.
Find $\sin \theta$ if opposite = 5, hypotenuse = 13.
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$\sin \theta = 5/13$.
$\sin \theta = 5/13$.
Find hypotenuse if $\cos \theta = 0.8$ and adjacent = 12.
Find hypotenuse if $\cos \theta = 0.8$ and adjacent = 12.
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$h = 12 / 0.8 = 15$.
$h = 12 / 0.8 = 15$.
Find missing side if $\sin \theta = 0.6$ and hypotenuse = 10.
Find missing side if $\sin \theta = 0.6$ and hypotenuse = 10.
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Opposite $= 6$.
Opposite $= 6$.
Find the hypotenuse if legs are 6 and 8.
Find the hypotenuse if legs are 6 and 8.
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$\sqrt{6^2 + 8^2} = 10$.
$\sqrt{6^2 + 8^2} = 10$.
In a $30^{\circ}$–$60^{\circ}$–$90^{\circ}$ triangle, if the short leg = 5, find hypotenuse.
In a $30^{\circ}$–$60^{\circ}$–$90^{\circ}$ triangle, if the short leg = 5, find hypotenuse.
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$10$.
$10$.
In a $45^{\circ}$–$45^{\circ}$–$90^{\circ}$ triangle, if a leg = 4, find hypotenuse.
In a $45^{\circ}$–$45^{\circ}$–$90^{\circ}$ triangle, if a leg = 4, find hypotenuse.
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$4\sqrt{2}$.
$4\sqrt{2}$.
List the common Pythagorean triples.
List the common Pythagorean triples.
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$(3,4,5)$, $(5,12,13)$, $(7,24,25)$, $(8,15,17)$.
$(3,4,5)$, $(5,12,13)$, $(7,24,25)$, $(8,15,17)$.
What are the sides in a right triangle called?
What are the sides in a right triangle called?
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Legs and hypotenuse.
Legs and hypotenuse.
What is the hypotenuse?
What is the hypotenuse?
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The side opposite the right angle, and the longest side in a right triangle.
The side opposite the right angle, and the longest side in a right triangle.
What is the Pythagorean Theorem?
What is the Pythagorean Theorem?
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$a^2 + b^2 = c^2$ (for right triangles).
$a^2 + b^2 = c^2$ (for right triangles).