The Famous Theorem
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.
In an isosceles right triangle, one of the legs is 3 in. What is the length of the hypotenuse in simplest radical form?
3 square root 2
Which trigonometric ratio is defined as the ratio between the opposite side to the adjacent side?
Tangent
In triangle ABC, angle B is a right angle. AC is 10 in and sin of angle C is .7. What is the measure of AB?
7 in
In triangle ABC, angle A = 20, BC = 7, angle B = 60, find AB.
20.2
Give the Pythagorean Triple 8, 15, ______
What is 17
The shorter leg of 30-60-90 triangle is 5 cm. What is the length of the hypotenuse?
10 cm
In triangle ABC, angle B is a right angle. AB is 3 in and BC is 4 in. What ratio represents sin of angle A?
4/5
In triangle ABC, angle B is a right angle. AB is 5 in and angle C is 68 degrees. What is the measure of BC?
2 in
In triangle ABC, angle B is a right angle. sin of angle C is 3/5. What is cos of angle A?
3/5
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
The shorter leg of a 30-60-90 triangle is 6 in. Find the length of the longer leg in simplest radical form.
6 square root 3
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
In triangle ABC, angle B is a right angle. AC is 6 cm and angle A is 30 degrees. What is the measure of AB?
~5.2, or 3(square root of 3)
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
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
In an isosceles right triangle, the length of the hypotenuse is 8 cm. Find the length of a leg in simplest radical form.
4 square root 2
In triangle ABC, angle B is a right angle. AB is 6 in and BC is 8 in. What ratio represents cos of angle A?
6/10, or 3/5
In triangle ABC, angle B is a right angle. AB is 12 in and AC is 15.. What is the measure of angle C?
53
In triangle ABC, angle B is a right angle. sin of angle A is 4/5. What is tan of angle C?
3/4
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 in simplest radical form?
3 square root 5
The longer leg in a 30-60-90 triangle is 12 in. What is the length of the hypotenuse in simplest radical form?
8 square root 3
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
In triangle ABC, angle B is a right angle. BC is 10 in and angle A is 55 degrees. What is the measure of AC?
~12.21 in
Find the angle of elevation to a building is you are 50 feet from the building and it is 40 feet tall.
39 degrees