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RIGHT TRIANGLES and THE PYTHAGOREAN THEOREM
SINE and COSINE
TANGENT
SIN, COS and TAN ANGLES
SPECIAL RIGHT TRIANGLES
100
A triangle with one 90 degree angle.
What is a right triangle?
100

In a right triangle, the ratio of the length of the side opposite to angle A to the length of the hypothenuse.

What is the sine ratio?

100
In a right triangle, the ratio of the length of the side opposite to angle A to the length of the side adjacent to angle A.
What is tangent ratio?
100
What do sin 30 degrees and cos 60 degrees equal to?
1/2.
100

The angle measurement that is missing when the given angle measurements are 45 and 90 degrees.

What is 45 degrees

200
In a right triangle, the sum of the squares of the lengths of the sides is equal to the square of the length of the hypotenuse. a2 + b2 = c2
What is the Pythagorean Theorem?
200
In a right triangle, the ratio of the length of the side adjacent to angle A to the length of the hypothenuse.
What is cosine ratio?
200

In a triangle ABC, if angle B=90 degrees, AB=3, BC=4 and AC=5, then the tan(A) is?

What is 4/3?

200

What do sin 45 degrees and cos 45 degrees equal to?

square root of 2 over 2 or 0.71

200

The missing angle measurement when the given angle measurements are 60 and 90 degrees.

What is 30 degrees

300

In a right triangle, if the legs are 3 and 4, what is the measure of the hypotenuse

The hypothenuse is 5 cm.

300

In a triangle ABC, if angle A=37 degrees, angle B=90 degrees, and angle C=53 degrees,  AB=3, BC=4 and AC=5, what is the sine ratio of angle A?

What is 3/5?

300

In a triangle ABC, if angle B=90 degrees, AB=3, BC=4 and AC=5, then the tan(B) is?

What is 3/4?

300

What do sin 60 degrees and cos 30 degrees equal to?

square root of 3 over 2 or 0.87

300

The factor to multiply by to find the hypotenuse in a 45-45-90 degree triangle.

What is the square root of 2

400
The side that is right across the 90 degree angle is called.
What is the hypothenuse?
400

In a triangle ABC, if angle A=37 degrees, angle B=90 degrees, and angle C=53 degrees,  AB=3, BC=4 and AC=5, what is the cosine ratio of angle A?

What is 4/5?

400

The definition of the tangent ratio can be use to solve a trigonometric equation for?

What is the side length.

400

What does tan 30 equal to?

1 over square root of 3 or 0.58

400

The factor to multiply by for finding the hypotenuse in a 30-60-90 degree triangle.

What is 2

500

These polygons have the same shape; one polygon is an enlargement or a reduction of the other polygon.

What are similar polygons?

500

In a triangle ABC, if B=90 degrees, A=80 degrees, and C= 10 degrees, then what property of sine and cosine confirms sin(80)=cos(10).

What is the sine and cosine of complementary angles are equal?

500

The tangent ratio is

What is opposite/adjacent?

500

What does tan 60 equal to?

square root of 3 or 1.73

500

The factor to multiply by for finding the length of the longer leg in a 30-60-90 degree triangle.

What is the square root of 3