Pythagorean Theorem
Special Right Triangles
Trigonometric Ratios
Finding Missing Sides and Angles
Miscellaneous
100
Is 4, 5, 9 a Pythagorean Triple? Explain
No. These three numbers do not work in the Pythagorean Theorem, so they are not a Pythagorean Triple.
4^2+5^2 = 16 + 25 = 41. This is not equivalent to 9^2, so these three numbers are not a Pythagorean Triple.
100
In an isosceles right triangle, one of the legs is 3 in. What is the length of the hypotenuse?
~4.24 (3*sqrt2)
100
Which trigonometric ratio is defined as the ratio between the opposite side to the adjacent side?
Tangent
100
Sin Law
what is sinA/a = sinB/b = sinC/c
100
The hypotenuse in an isosceles right triangle is 9 cm. What is the length of the leg?
~6.36
200
Give an example of a Pythagorean Triple.
Examples include 3, 4, 5 and 5, 12, 13. To be a Pythagorean Triple, the three numbers need to satisfy the equation a^2 + b^2 = c^2
200
The shorter leg of 30-60-90 triangle is 5 cm. What is the length of the hypotenuse?
10 cm
200
In triangle ABC, angle B is a right angle. AB is 3 in, BC is 4 in, and CA is 5 in. What ratio represents sin of angle A?
4/5
200
solve for b
1. A = 16o, B = 57o, a = 156.9
477.393
200
In triangle ABC, angle B is a right angle. sin of angle C is 3/5. What is cos of angle A?
3/5
300
In triangle ABC, angle A is a right angle. If AB is 6 cm and AC is 8 cm, how long is BC?
10 cm
300
The shorter leg of a 30-60-90 triangle is 6 in. Find the length of the longer leg.
~10.39 in (6*sqrt3)
300
In triangle ABC, angle B is a right angle. AB is 3 in, BC is 4 in, and CA is 5 in. What ratio represents tan of angle C?
3/4
300
Solve for a when B=21o, C=61o, and c=460
520.8245
300
A building is 25 ft tall. You are standing a distance from the building such that the angle of elevation to the top of the building is 50 degrees. How far away from the building are you?
~20.98 ft
400
In triangle ABC, angle A is a right angle. If AB is 5 in and BC is 13 in, what is the length of AC?
12 in
400
In an isosceles right triangle, the length of the hypotenuse is 8 cm. Find the length of the sides.
~5.66 (8/sqrt2)
400
In triangle ABC, angle B is a right angle. AB is 6 in, BC is 8 in, and CA is 10 in. What ratio represents cos of angle A?
6/10, or 3/5
400
find theta if 
16.15o
400
In triangle ABC, angle B is a right angle. sin of angle A is 4/5. What is tan of angle C?
3/4
500
In triangle ABC, angle A is a right angle. If AB is 6 cm and AC is 3 cm, what is the length of BC?
~6.71 cm
500
The longer leg in a 30-60-90 triangle is 12 in. What is the length of the hypotenuse?
~13.86 (24/sqrt3)
500
In triangle ABC, angle B is a right angle. AB is 5 cm and BC is 12 cm. What ratio represents sin of angle A?
12/13
500
find theta if 
81.61o
500
In a 30-60-90 right triangle, the larger leg is 4 in. What is the area of the triangle?
~4.62