Pythagorean Theorem Review

Square Roots

100

Square Root of 49

7

200

simplify √450

15 √2

300

Between what 2 numbers does the square root of 5 lie?

2 and 3

400

What is the cube root of 27

3

500

Simplify the Square Root of 150

5√6

Pythagorean Theorem

100

Does the following measures make a right triangle? 10cm., 5cm., 12cm.

No

200

Is the following a right triangle? 5cm, 4cm, 3cm

Yes

300

Solve for c 12²+15²=c²

c=19

400

Between which two integers does the square root of 111 lie"

10 and 11

500

Use the Pythagorean Theorem to determine if a triangle with the sides 5, 7, and 9 is a right triangle?

No

Using Pythagorean Theorem

100

Find the height of a tree if there is a ladder leaning against it that is 10 feet tall and it is 5 feet away from the base of the tree.

9 Feet

200

What is the length of a skateboarding ramp if it is 12 feet long and 2 feet off the ground?

12 Feet

300

is 6-8-10 a Pythagorean Triple?

Yes

400

Is 12-25-37 a Pythagorean Triple?

No

500

How far is the ladder from the base of a building if the building is 20 feet high and the ladder is 30 feet long?

22 Feet

Distance On The Coordinate Plane

100

Find the distance between the point (-2,1) and (3,-2)

6

200

Find the distance between (-1,0) and (5,0)

6

300

Find the distance between (5,3) and (-4,-3)

11

400

Find the distance between (10,11) and (-1,1)

15

500

Find the distance between (3,-4) and (3,10)

14

Mix And Match

100

Find the value of b. (b, -6), (-5, 2); Distance =10. 

1 or -11

200

Solve for b 4²+b²=16²

b=15

300

Find the distance between (-3, -5) and (-1, 3)

2

2sqrt17

400

Which is longer distance B(-3, -5) to C(3, 0) or A(-1,3) to D(5, -2)?

What is Equal distance.  

sqrt61

500

solve for x:

x(x-3)-51=-3x+13

x= 8