**3**.For the triangle shown, Kendra wrote

the Pythagorean relationship as

r2 = p2 + q2. Is she correct? Explain.

Kendra is

**incorrect**. Leg²+leg²=hypotenuse². Since the legs are r and q and the hypotenuse is p, it should be r²+q²=p² or q²+r²=p².**8**.Is the triangle shown a right triangle?

Explain your reasoning.

The triangle shown is

**not**a right triangle. For this triangle to be a right triangle, the area of the two smaller squares*must*equal the area of the larger one. The area of the two smaller squares are 40 cm² and 20 cm² and the area of the larger square is 50 cm². 40+20=60 cm². 60 cm² does not equal 50 cm² because it is 10 cm² greater.**11**.The side lengths of a triangle are 5 cm,

6 cm, and 8 cm. Determine whether the

triangle is a right triangle. Explain

This is

**not**a right triangle since the sum of the areas of the two smaller squares aren't equal to the larger square. 6²=36 cm², 5²=25 cm², 8²=64 cm². 36+25=61. 61 doesn't equal 64.**16**.Baldeep is building a wooden box for

storing coloured pencils. The box will have

rectangular sides that are 12 cm wide and

20 cm long. Show how Baldeep can be sure

the sides are rectangular, without using

a protractor.

To make sure that the sides are rectangular, I think that Baldeep should make a diagonal line on the rectangle to separate it into two triangles and make squares with the length, width, and the diagonal line you made. Baldeep should then measure the diagonal line and find the areas of the squares and add the areas of the two smaller squares together to see if it is equivalent to the area of the larger square. If it's the same, that means that it is a right triangle which makes the other triangle a right triangle too. If both triangles are right triangles, then the sides

*are*rectangular.
Great Job, Hanna !

ReplyDeleteFor number 3 and 8, I got the same answers as you.

Number 11 confused me a bit, but when I saw that you got 61 as the answer, I understood.

Your pictures were great, keep it up :)

Good job Hanna! , Your post is very organized & also colored very well , It gives us a good understanding of working with triangles & squares. Awesome Job! (:

ReplyDeleteGood Job Hanna, Your post is very neat and understandable. I liked how you used different colours to say its important. Great Job .

ReplyDeleteGood job Hanna! I liked how you made the important words to stand out. I also liked your pictures. They are very clear. All in all, Great job!

ReplyDelete