45-45-90
Square Roots
Hypotenuse
Leg
30-60-90
100
The short leg of a 45-45-90 triangle is a length of 5. What is the length of the hypotenuse?
5 sq rt 2
100
√25
5
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with legs 3 and 4 cm long
5 cm
100
In the Pythagorean theorem a2 + b2 = c2, what are a and b called?
Legs
100
True or False
The legs are the same length in a 30-60-90 right triangle.
False
200
If I know a leg of a 45-45-90 triangle, what is the formula to find the hypotenuse?
200
√100
10
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
200
In a right triangle of lengths 5, 13 and 12, which side is the hypotenuse?
13 length side
hypotenuse is always the longest side
200
If I know the hypotenuse of a 30-60-90 triangle, what is the formula to find the short leg (SL)?
300
If I know one leg of a 45-45-90 right triangle, how do I find the other leg?
legs are equal, so if you know one, you know both
300
3√81
27
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with a=6 and c=10
b=8
300
The long leg of a 30-60-90 is sq rt 3. What is the length of the short leg?
1
400
Solve for x and y
y = 8
x = 8 sq root 2
400
Show in simplest radical form
5√48
20√3
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=9 and c=20
a=17.9
400
The short leg of a 30-60-90 triangle is a length of 7. What are the lengths of the other sides?
7 sq rt 3 and 14
500
If the hypotenuse of a 45-45-90 triangle is 16, what is the length of the legs?
8 sq rt 2
500
Show in simplest radical form
6√225 x 4√128
2880√2
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.
20
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=10 and c=15
a = 11.2
500
The length of the hypotenuse of a 30-60-90 triangle is 10 sq rt 2. What are the lengths of the short leg and the long leg?
5 sq rt 2 and 5 sq rt 6