Squares
Square Roots
Identify the Hypotenuse
Pythagoras Facts
Pythag Problems
100

Evaluate 52

5 x 5 = 25

100

Evaluate: 

sqrt81

9

100

Name the hypotenuse using the the letter at each end:

BC or CB

100

What is the formula for Pythagoras' Theorem?

a2+b2=c2

100

Sarah has a rectangular field that is 7 meters long and 4 meters wide. She wants to know the shortest distance from one corner to the opposite corner of the field. What is this distance?

28

200

Evaluate 62

6 x 6 = 36

200

Evaluate:

sqrt100

10

200

Name the hypotenuse using the letter at each end:

XZ or ZX

200

What type of triangles does Pythagoras' Theorem work for?

Only right-angle triangles

200

Alex has a triangular sail for his toy boat. He knows the hypotenuse is 10 cm, and one of the other sides is 8 cm. What is the length of the third side?

6 cm

300

Evaluate 92

9 x 9 = 81

300

Evaluate: 

sqrt25

5

300

What is the length of the hypotenuse in the following triangle?

13

300

What is a Hypotenuse ?

Longest side of a right triangle

300

Is the following a right angle triangle using Pythagoras' Theorem? show your working

Yes:

82+152=172

64+225=289

400

Evaluate 122

12 x 12 = 144

400

Evaluate: 

sqrt64

8

400

What is the length of the hypotenuse in the following triangle:

2

400

Name of the side opposite to right angle in a right-angled triangle

Hypotenuse

400

Lisa is flying her kite. The kite string is 50 meters long, and the kite forms a right angle with the ground. If the kite's height above the ground is 30 meters, how far horizontally is Lisa from the point directly below the kite?

40m 

500

Evaluate 252

625

500

What is the square root of 169? 

13

500

What are two ways to locate the hypotneuse on a right angled triangle? 

Opposite the right angle

The longest side 

500

What nationality was Pythagoras? Where did he come from? 

Greece or Ancient Greece 

500

Sarah is building a ramp for her pet turtle. If the ramp's base is 9 cm and the hypotenuse is 15cm, what is the length of the ramp?

12cm 

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