Pythagorean Theorem

Find the missing Hypotenuse

100

a = 12    b =  5     c = ?

c = 13   -----------

12² + 5² = c²

144 + 25 = c²

        169 = c²

          13 = c

200

a = 9   b =  12   c = ?

c = 15  -------------

9² + 12² = c²

81 + 144 = c²

        225 = c²

          15 = c

300

a= 4     b = square root of 84      c = ?

c = 10

4² + (square root of 84)² = c²

                      16  +  84  =  c²

                               100 = c²

                                10  = c

400

a = 2      b = square root of 21      c = ?

c = 5

2² + (square root of 21)² = c² 

4  +  21 = c² 

25 = c²

5 = c

Find the missing Leg

100

a = 15   b = ?   c = 17

b = 8 -------------

15² + b² = 17²

225 + b² = 289

         b² = 64

         b = 8

200

The leg of a right triangle measures 21 and the hypotenuse measures 29. How much does the other leg measure?

Leg = 20

21² + b² = 29²

441 + b² = 841

       b² = 400

      b = 20

300

a = square root of 3,  b = ?  ,    c = 2

b = 1

(square root of 3)² + b²  = 2²

                           3 + b²  = 4

                                  b² = 1

                        b = square root of 1 = 1

400

Surprise!

You get 200 points for yourself and you give 200 points to any other team.

.

Find the Perimeter

100

The legs of a right triangle measure 3 and 4. What is the PERIMETER of the triangle?

*** Hint: first find the missing length, then use it to find the perimeter.

Perimeter = 12

       3²  + 4²  = c²

         9 + 16  = c²

                25 = c²   ......   c=5

PERIMETER = 3 + 4 + 5 =12

200

One leg of a right triangle measures 8 and the hypotenuse measures 10. What is the PERIMETER? 

*** Hint: first find the missing leg length then use it to find the perimeter.

Perimeter = 24

8² + b² = 10²

64 + b² = 100 

         b² = 36  .... b = 6

PERIMETER = 6 + 8 + 10 = 24

300

You do not get any points here. Instead....

Switch points with the team that has the fewest points. 

If you have the fewest points, then switch with the team that has the most points :)

.

400

One leg of a right triangle is 12. They hypotenuse is 13.   What is the PERIMETER of the triangle?

**Hint:  First find the measurement of the second leg, then find the perimeter.

Perimeter = 30

          12² + b² = 13²

         144  + b² = 169

                   b² = 25  ...... b  =  5

PERIMETER = 12 + 5  + 13  = 30

Is it a Right Triangle?

100

Do these measurements make a right triangle?

9, 14, 12

No.

9² + 12² = 14²  ?

81 + 144 = 196  ?

       225 not equal to 196... Not a right triangle.

200

Do these measurements make a right triangle?

square root of  13,   square root of 3,   4

 YES

(square root of 13)² + (square root of 3)² = 4² ?

13 + 3 = 16  ?

16 = 16   Yes, it's a right triangle.

300

Do these measurements make a right triangle?

square root of 50, square root of 50, 10

YES, it's a right triangle

(square root of 50)² +(square root of 50)² =10² ?

                     50     +       50      =  100  ?

                                  100         =  100   yes

400

Do these measurements make a right triangle?

Square root of 68,  square root of 85,  square root of 17

YES

(Square root of 68)² +  (square root of 17)² = (square root of 85)²

68 + 17 = 85

85 = 85  YES

Simplify

100

Simplify the square root of 20.

Round your answer to the nearest tenth.

4.5 -----

Square root of 20 =

4.4721359   =   4.5

200

What is 25 squared?

625  -----------

25² = 25 x 25 = 625

300

What is the square root of 8?

Round to the nearest tenth.

2.8

400

What is 16 squared?

256 ---

16² = 16 x 16 = 256