Special Right Triangles
Pythagorean Theorem
Right Triangles
Unknown Parts of a Right Triangle
Finding Trig Ratios
100
One leg of a 45-45-90 triangle measures 2. What is the lengths of the other leg?

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 measure of the other acute angle?
55 degrees
100
opposite/hypotenuse
Sine
100
A= 3; O = 4; H = 5. What is the Sine ratio?
4/5
200
The short leg of a 30-60-90 triangle measures 4. What is the length of the hypotenuse?
8
200
Would the following measures create a right triangle? 9, 12, 15
Yes
200
To solve a right triangle means to find the measures of all its ________ and ___________.
angles, sides
200
Right triangle ABC: leg AB=18 leg BC=12. Find angle A.
33.7
200
A = 6; O = 4; H = square root of 52. What is the tangent ratio?
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
Right triangle KLM: Angle M=40, Hypotenuse=8, Angle L=90. Find KL.
5.1
300
You are standing on a footbridge in a city park that is 12 feet high above a pond. You look down and see a duck in the water 7 feet away from the footbridge. What i the angle of depression.
59.7 degrees
400
The long leg of a 30-60-90 triangle measures 9. what is the length of the short leg?
3 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 touches the angle but is not the hypotenuse.
400
Right triangle RST: Angle R=50, Angle S=90, ST=15. Find the missing angle and the hypotenuse RT.
Angle S=40 and RT=17.9
400
A soccer ball is placed 10 feet away from the goal, which is 8 feet high. You kick the ball and it hits the crossbar along the top of the goal. What is the angle of elevation of your kick?
38.7 degrees
500
The hypotenuse of a 30-60-90 triangle measures 10 square roots of 3. What is the length of the long leg?
15
500
The hypotenuse of a triangle measures 17 and one leg measures 8. What is the length of the other leg?
15
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. It does not TOUCH the angle.
500
Right Triangle GHJ: Hypotenuse GJ=16, and leg GH=14. Find angle G and angle J.

angle G=29 and angle J=61

500
When do you use the trigonometric ratio to find a side length of a right triangle and when to use the Pythagorean Theorem? Explain.
Trigonometric Ratios-know the sides of side length and an acute angle, use these to find other side lengths and angle measures. Pythagorean Theorem- when given two side lengths and find the third side length.
M
e
n
u