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10 Cards in this Set
- Front
- Back
Leg rule
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Hypotenuse/leg= leg/segment of hypotenuse adjacent to the leg
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Altitude rule
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Segment1/altitude= altitude/segment2
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Geometric mean
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The positive number m where the proportion a/m=m/b is true.
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Pythagorean theorem
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In a right triangle, the sum of the squares if the measures of the legs equals he square of the measure of the hypotenuse.
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List the four Pythagorean triples
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3-4-5
5-12-13 7-24-25 8-15-17 6-8-10 10-24-26 14-48-50 16-30-34 9-12-15 |
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State the rues that determine whether or not a triangle is acute right or obtuse
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If a2+b2>c2 then triangle is acute
If a2+b2=c2 then triangle is right If a2+b2<c2 then triangle is obtuse |
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State the properties of a 45-45-90 triangle
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To get the diagonal, you attach a square root 2
If a side length is given with a square root 2 included, you double the whole # and leave off the square root 2 # which = the diag. If a whole # is given for the diag. Divide the whole # in half and attach a square root 2 |
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State the properties of 30-60-90 triangles
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The side that the alt. bisects gets the leg # split in half.
Th small split on half side gets a sqare root 3 attached to it to = the alt. When a whole # is the alt. 2/3 of the alt. makes the long leg whole # and gets. Square root 3 attached The whole # is split in half to form the two base segments |
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State the 3 trig ratios
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Sine=O/H
Cosine=A/H Tangent=O/A |
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State the three tig ratio's definitions
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Sine= opposite leg/ hypotenuse
Cosine= adjacent leg/ hypotenuse Tangent=opposite leg/ adjacent leg |