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Special Right Triangles
Pythagorean Theorem
Right Triangles
Definitions of Trig Ratios
Finding Trig Ratios
100
One leg of a 45-45-90 triangle measures 2. What is the lengths of the other two sides?
2 and 2 square roots of 2
100
The two legs of a right triangle are 3 and 4. What is the hypotenuse?
5
100
One of the angles in a right triangle is 35 degrees. What is the measures of the other two angles?
90 and 55 degrees
100
opposite/hypotenuse
Sine
100
A= 3; O = 4; H = 5. What is Sine?
4/5
200
The short leg of a 30-60-90 triangle measures 4. What is the length of the other sides?
8 and 4 square roots of 3
200
Would the following measures create a right triangle? 9, 12, 15
Yes
200
The two non-right angles in a right triangle have what kind of relationship?
They are complementary
200
Reciprocal of tangent
cotangent
200
A = 6; O = 4; H = square root of 52. What is tangent?
2/3
300
The hypotenuse on a 45-45-90 triangle measures 6. What is the length of the legs?
3 square roots of 2
300
The hypotenuse of a triangle is 5 and one of the legs is 2. What is the length of the other leg?
square root of 21
300
What is the longest side of a right triangle called?
Hypotenuse
300
Hypotenuse/adjacent
Secant
300
A = 3; O = 4; H = 5. What is cosecant?
5/4
400
The long leg of a 30-60-90 triangle measures 9. what is the length of the other two sides?
3 square roots of 3 and 6 square roots of 3
400
The length of two sides of a right triangle are 8. What is the measure of the last side?
8 square roots of 2
400
Explain how to tell which side is adjacent to an angle.
It the side of the angle that is not they hypotenuse.
400
Opposite/adjacent
tangent
400
A = 2; O = 5; H = square root of 29. What is Secant?
square root of 29/2
500
The hypotenuse of a 30-60-90 triangle measures 10 square roots of 3. What are the lengths of the other two sides?
5 square roots of 3 and 15
500
The hypotenuse of a triangle measures 5 square roots of 2 and one leg measures 4. What is the length of the other leg?
Square root of 34
500
Describe how to find the opposite side of an angle.
It is the side of the triangle that does not intersect the vertex of the angle.
500
Reciprocal function of hypotenuse/opposite
Sine
500
A = 7; O = ?; H = 8 What is Cotangent? (Remember, no square roots in denominator.)
7 square roots of 15 / 15