Questions 3,8,11 and 16 from pages 91-94 in the math textbook.
3. For the triangle shown, Kendra wrote the Pythagorean relationship as r2 = p2 + q2. Is she correct? Explain.
Kendra's not correct. The side p is the hypotenuse. It should be like this: p2 = r2 + q2
8. Is the triangle shown a right triangle? Explain your reasoning.
The triangle isn't a right triangle because the area of the 20 cm2 plus the area of 40 cm2 doesn't equal to the area of 50 cm2.
11. The side lengths of a triangle are 5 cm, 6 cm, and 8 cm. Determine whether the triangle is a right triangle. Explain.
The triangle isn't a right triangle because the area of the square of the two shorter sides doesn't equal to the area of the hypotenuse which is the longest side.
52 = 25, 62 = 36, 82 = 64 25 + 36 = 64 61
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.
He has to make sure that areas of the squares for width plus the areas of the squares for length should equal the area of the square the diagonal of the rectangle can be draw on.