Pythagorean Theorem
Radicals
Special Right Triangles
Difficult Questions
100

32 + 42 = c2. What is the value of c.

5

100

What is √45 simplified?

3√5

100

What is the hypotenuse of a 45-45-90 triangle?

x√2

100

What is √845 simplified?

13√5

200

Two legs of a triangle are 5 and 12. What is the length of the hypotenuse?

13

200

What is √500 simplified?

10√5

200

What is the hypotenuse of a 30-60-90 triangle?

2x

200

What is √1584 simplified?

12√11

300

What is the value of b if 72 + b2 = 252.

24

300

What is √125 simplified.

5√5

300

What is the length of both the legs of a 45-45-90 triangle?

x

300

What is the hypotenuse of a triangle with legs 45 and 63?

9√35

400

What is the length of the hypotenuse if the legs of a triangle are 15 and 18? (simplify in radical form)

3 √61

400

What is √256 simplified?

16

400

What is the length of the shortest leg of a 30-60-90 triangle?

x

400

What is the missing leg of a 30-60-90 triangle with sides 3 and 6?

3√3

500

What is the length of the hypotenuse if the legs of a triangle are 400 and 200?

200 √5

500

What is √315 simplified?

15√7

500

What is the length of the longer leg of a 30-60-90 triangle?

x√3

500

What is the missing leg of a 45-45-90 triangle with sides 9 and 9√2?

9

M
e
n
u