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Geometric Formulas
Triangle Properties
Trig Ratios
The Pythagorean Theorem
Solving Triangles
100

This is defined as the positive square root of the product of two numbers

What is geometric mean?

100

The name of the special right triangle that originates from a square. You must also list the side ratios.

Isosceles Right Triangle 

n: n: n(rad 2)

100
This trig function is defined as: length of the side opposite/length of the side adjacent
What is the tangent?
100
This theorem can only be used for this type of triangle.
What is a right triangle?
100

Name at least 3 tools used to solve for missing values of right triangles

*Geometric Mean

*SOHCAHTOA

*Pythagorean Theorem

*Special Right Triangle Ratios

200

The total distance around a figure.

What is the perimeter?

200

The name of the special right triangle that originates from an equilateral triangle. You must also list the side ratios.

What is the 30 - 60 - 90 Triangle

n: n(rad 3): 2n

200
This trig ratio is defined as the: Length of the side opposite/length of the hypotenuse
What is sine?
200
The hypotenuse of a right triangle is always labeled as lower case ________ .
What is "c"?
200

To "solve a triangle" means this...

What is solving for all interior angles and all sides of a triangle?

300

This rule is used to solve for missing legs of right triangles using the geometric mean of the whole hypotenuse and the part of the hypotenuse closest to the missing leg

What leg rule?

300

The side across from the 60 degree angle in a right triangle has a value of 18cm. This is the value of the side across from the 30 degree angle in simplest radical form.

What 6 rad 3cm

300
This trig ratio is defined as the: Length of the side adjacent/length of the hypotenuse
What is cosine?
300
This is the measure of the hypotenuse when the legs of a right triangle measure 3 inches and 4 inches.
What is 5 inches?
300

The measure of this acute angle of a right triangle (in degrees) has a side opposite of 12 inches and a hypotenuse of 20. Round to the tenth

What is 36.9 degrees?

400

These ratios would be used to solve for missing angles of right triangles

What is inverse of SOHCAHTOA?

400

The diagonal of a square measures 20in. This is the value of the area.

What is 200in2?

400

The sine of 52.75 degrees is equal to this number rounded to the nearest ten thousandth.

What is 0.7960?

400

This is the measure of the hypotenuse (rounded to the nearest tenth) when the legs of a right triangle measure: a = 20 mm b = 24 mm

What is 31.2 mm?

400

This is the measure of the hypotenuse of a right triangle when a side is 8 m and the angle adjacent to that side is 49 degrees. Round to the tenth

What is 12.2 m?

500

This formula can be used to solve for missing angles and side lengths of non right triangles

What is the Law of Sines?

500

The altitude of an equilateral triangle measures 27mm. This is the value of the perimeter in simplest radical form.

What is 54 rad 3mm?

500

The value of the angle (rounded to the hundredths) whose measure is defined as this: Cos A = 0.1876

What is 79.19 degrees?

500

This is the measure of leg "b" (rounded to the tenths) for a right triangle with: leg a = 13 ft hypotenuse = 18 ft

What is 12.4 ft?

500

Triangle DEF has the following measurements: 

Angle E = 32 degrees

d = 30in

e = 16in

Round all values to the nearest whole number

What is: Angle D = 84 degrees, Angle K = 64 degrees, and f = 27in