Trigonometry is a branch of mathematics focused on the relationships between the angles and sides of triangles. Key concepts include the hypotenuse, which is the longest side in a right triangle, and corresponding sides, which touch the same two angle pairs when transitioning from one triangle to another.
Similar Triangles meaning:
Two triangles are similar if the only difference is size and possibly the need to turn or flip one around.
Fraction And Number Sense
3/8 + 3/16
9/16
6/16 + 3/16
Therefore from least to greatest they are 5/32, 3/8, 1/2, 3/4
3/8,5/32,1/2,3/4
3/4 = 24/32
3/8 = 12/32
1/2 = 16/32
Order the fraction in each set from least to greatest
Corresponding Sides Meaning:
touch the same two angle pairs, when the sides are corresponding it means to go from one triangle to another. you can multiply each side by the same number
Ratio Meaning:
ratio indicates how many times one number contains another. ex; the ratio if lemons to orange's is 6:8 or 3:4 and the ratio of orange's to the total amount of fruit is 8:14 or 4:7
Ratio
Similar Triangles
Imperial System
Corresponding Sides
Proportional
Metric System
Proportional Meaning:
two varying quantities are said to be in a relation of proportionality, multiplicatively connected to a constant
Imperial System meaning:
a system of weights and measures similar but not always the same. Ex; of imperial measures, length, inches, feet, yards, area, square feet, acres
Metric System meaning:
system of measurement that uses the meter, liter and gram as base unties of length, capacity, and weight respectively
Determine if 980cm2 of waterproof cancans will be enough to build a pup tent (triangular prism) with the following dimensions length of 2m, width of 1m and height of 1.5m
Total: 6.63 + 2 + 1.5 = 9.82m2
Rectangle sides: 1.58 x 2 = 3.16 x 2 = 6.32
Triangle: (1 x 1.5) / 2 = .75 x 2 = 1.5
React Bottom: 2 x 1 = 2
Sine Ratio Meaning:
the length of the opposite side divided by the length of the hypotenuse
Cosine Ratio Meaning:
the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle
Trigonometry Meaning:
the study of measurement of three-sided figures. trigonometry is the study of the measurement of the sides and angle in triangles
Legs Meaning:
refers to a side other than the one opposite the right angle. legs are also known as catenin.
tangent ratio:
tangent ratio are the ratio of a side opposite to the side adjacent the angle they represent
Hypotenuse Meaning:
in a right triangle the hypotenuse is the longest side, an opposite side is the one across from a given angle and a adjacent side is next to a given angle
CosA = a/h
Length of adjacent
Length of hypotenuse
Defining The Trigonometric Ratios
Adjacent
Opposite
Sine Ratio = SinA o/h
Length of side opposite
Length of hypotenuse
Trigonometry - triangle measurement
Used to calculate lengths of sides and measures of angles in triangles
Key Terms
Cosine Ratio
Sine Ratio
Legs
Trigonometry
Hypotenuse
Tangent Ratio
Rounding
4.87 rounded to one decimal place is 4.9
4.87
0.87 is closer to 0.9 than 0.8, so 4.87 rounded to one decimal place is 4.9
43.66* round to the nearest degree is 44*
0.66 is closer to 1 than to 0, so 43.66* round to the nearest degree is 44*
