Pythagorean Theorem
Special Right Triangles
45-45-90 Triangles
30-60-90 Triangles
Acute, Obtuse, or Right?
100
What is the only type of triangle that the Pythagorean theorem applies to?
a right triangle
100
Which special right triangle is formed by drawing the diagonal of a square?
45-45-90 or 30-60-90 ?
a 45-45-90 triangle
100
Find the length of the side AB of the triangle below.
side AB is 3
100
Find the missing side length.
√3
100
3, 6, 8
Obtuse
200
Where is the hypotenuse on a right triangle?
Across from the right angle
200
The side lengths of a 30, 60, 90 could be
____: _____: _____.
a. 2: 2square root 3: 4
b. 5: square root 3 : 10
c. 3: 3square root 3 : 5
d. 4 : 4: 4 square root 2
a. 2: 2square root 3 : 4
200
Given a 45-45-90 triangle, if the hypotenuse is
3 sqrt 2, what are the lengths of the legs?
3
200
Find the length of the side IR.
Side IR is 7
200
5 , 5, 5 SQRT 2
Right
300
In the Pythagorean theorem, what letter is used to represent the hypotenuse?
the letter C
300
What is the classification for the 45-45-90 triangle? (based on sides and angles)
an isosceles right triangle
300
Find the length of the diagonal of the 45-45-90 triangle (legs are 8).
8√2
300
Find the hypotenuse.
x= 12?
300
2, 7, 7
Acute
400
If c=18, b = 7, then what is side a?
What is 16.6?
400
Which angle is opposite the short side of a 30-60-90 triangle?
the 30 degree angle
400
Find the hypotenuse of a 45-45-90 triangle if the short leg is 7.
The hypotenuse is 7sqrt2.
400
In a 30, 60, 90 degree triangle the hypotenuse is two times which leg (short or long)?
Short leg
400
3, 3 SQRT 3, 6
Right
500
What completes the Pythagorean triple if a = 3 and b = 4?
c = 5
500
In which special right triangle is the hypotenuse 2 times as long as the short side?
a 30-60-90 triangle
500
Find the value of the leg of a 45-45-90 triangle with a hypotenuse of 10sqrt2.
what is 10?
500
The hypotenuse of a 30-60-90 triangle is 10. What is the length of the LONG leg?
The long leg is 5√3
500
10, 5 SQRT 2, 11
Acute