**12. While shopping online, Ji Hun finds a square rug with the area of 11 m squared. He needs to know if it will fit his 4 m x 5 m bedroom.**

a) Estimate the side length of the rug, to one decimal place.

b) Check your estimate with a calculator.

- √11 = 3.316

c) Will the rug fit? Explain.

**- Yes it will, because the area of the room is 20 m2.**

**14. Alex is thinking of a number.**

**"The number has a square root between 7 and 8, and it is a multiple of 12."**

a) What number could he be thinking of?

**- 7.8**

b) Is there more than one answer? Explain.

**- No, because there aren't any more multiples of 12 in between √49 and √64.**

**18. a) Evaluate**

**√9.**

**- 3.**

b) Estimate the square root of your answer in part a), to one decimal place.

c) Use a calculator to check your estimate. Express your answer to the nearest hundredth.

**- 1.73**

d) How close is your estimate in part b) to your calculation in part c)?

**- The difference is 0.17**

*PYTHAGOREAN RELATIONSHIP:*

1. The Pythagorean Relationship is the relationship between the sides of a right triangle. Two side lengths, called "the legs"'s area added together would equal the hypotenuse's area.

EXAMPLE:

2. Solve the missing side length.

3. Is this a right triangle? Prove it!!!

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