The

**Pythagorean**relationship can be used to determine the

**Length**of the

**Hypotenuse**of a right triangle when the lengths of the two

**Legs**are known.

3.

**Question**- Determine the length of each hypotenuse. Show your work.

a)

a squared + b squared = c squared

40cm squared + 9cm squared = c squared

(40x40) + (9x9) = c squared

1600cm + 81cm = c squared

The square root of 1681cm = c squared

41 cm squared = c squared

b)

a squared + b squared = c squared

12m squared + 35m squared = c squared

(12x12) + (35x35) = c squared

144m squared + 1225m squared = c squared

The square root of 1369m squared = c squared

The square root of 1369m squared = c squared

37m squared = c squared

5.

**Question**- Calculate the missing side length for each right triangle, to the nearest tenth of a centimetre. Show your work.a)

a squared = c squared - b squared

a squared = 6 cm squared - 5 cm squared

a squared = (6x6) - (5x5)

a squared = 36cm squared - 25cm squared

The square root of 11 = a squared

a squared = 3.31cm squared

a squared = c squared - b squared

a squared = 6 cm squared - 5 cm squared

a squared = (6x6) - (5x5)

a squared = 36cm squared - 25cm squared

The square root of 11 = a squared

a squared = 3.31cm squared

b)

a squared = b squared - c squared

a squared = 7cm squared - 12cm squared

a squared = (7x7) - (12x12)

a squared = 49cm squared - 144cm squared

The square root of 95 = a squared

a squared = 9.74

a squared = 7cm squared - 12cm squared

a squared = (7x7) - (12x12)

a squared = 49cm squared - 144cm squared

The square root of 95 = a squared

a squared = 9.74

7.

**Question**- A triangle is made up of two smaller congruent right triangles.

a)

a squared + b squared = c squared

4m squared + 2m squared = c squared

(4x4) + (2x2) = c squared

16+ 4 = c squared

The square root of 20 = c squared

4.5 = c squared

4.5 = c squared

Good Job Kris! I like how you used images to show your work. I think the numbers on the images were a bit to small. Next time, you should add a video and/or link to help us out a bit more! (:

ReplyDeleteGood Job Kris. I liked your pictures, but next time try to use a font that is easier to read. And next time instead of putting in "Using the Pythagorean Relationship, Homework Book" you should've put your name. Adding a video and a link will be very helpful. Other than that good job.. :)

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