The Pythagorean Theory

What is the unknown side length of this triangle?

• 7 cm

• 7.2 cm

• 7.5 cm

• 8 cm

What is the unknown side length of this triangle?

• $\sqrt{45\ }$

• $\sqrt{77\ }$

• $\sqrt{91}$

• $\sqrt{100}$

A kite has a short side of 5 cm and a long side of 10 cm. How long might be the stick that stretches from its top to its bottom? Remember: most kites do not have any right angles around their outside edges.

• 12.2 cm

• 14.4 cm

• 16.6 cm

• 18.8 cm

What is the length of the unknown side?

• 6.5 cm

• 7.2 cm

• 7.6 cm

• 8.2 cm

What is the length of the unknown side?

• $\sqrt{110\ }$

• $\sqrt{145\ }$
  

• $\sqrt{161\ }$

• $\sqrt{163\ }$
  

What is the length of the unknown side?

• $\sqrt{50\ }$

• $\sqrt{55\ }$

• 7.1 cm
  

• 7.7 cm
  

The bases on a baseball diamond form a square. Annie threw a ball in a straight line from third base to first base. How far did she throw it?

Which of the following are NOT a set of Pythagorean Triples?

• 7-24-25

• 8-40-41

• 12-35-37

• 8-15-17

Each side of an equilateral triangle measures 12 cm. What is the height of the triangle?

Quadrilateral ABED is made up of square ABCD and right isosceles △BCE. BE is a diameter of the circle with centre O. Point C is also on the circle. If the area of ABED is 24 cm2, what is the length of BE? Explain your thinking.