Shera's scribe - Textbook questions 12, 14, 18 - Pythagorean Relationship

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!!!