## Sunday, November 7, 2010

### Cathlene's Pythagoras Scribepost

5. A right triangle has a side lenght of 40 mm, 75 mm, and 85 mm.

a. Sketch the triangle. Draw a square on each side of the triangle.

b. What are the areas of the three squares?

c. Write an addtion statement with the areas of the three squares

10. A triangle has side lenght of 120 mm, 160 mm, and 200 mm. Is the triangle a right triangle? Explain your reasoning.

The triangle is a right angle because both the legs of the triangle is equal to the area of the hypotenuse.

Legs: Hypotenuse:

120 x 120 = 14400 200 x 200 = 40000

160 x 160 = 25600

14400 + 25600 = 40000

15. Construction workers have begun to dig a hole for a swimming pool. They want to check if the angle they have dug is 90 degrees. They measure the diagonal as shown to be 9.5 m. Is the angle 90 degrees? Explain your reasoning.

Answer: No the hole they dug is not 90 degrees.

a + b = c

6 squared + 8 squared = c

6 x 6 = 36

8 x 8 = 64

36 + 64 = 100

A right triangle has a square attached to each side. Two of the squares have areas of 10 cm and 15 cm. What are possible areas for the third square? Draw a sketch for each solution.