## Tuesday, November 16, 2010

### Textbook work

#6 - Determine the length of the leg for each triangle.

6 a)-

c² - a² = b²
25² - 7² = b²
625 cm² - 49 cm² = b²
576 cm² = b²
√576 cm² = √b²
24 cm = b

6 b)-

t² - s² = r²
26² - 24² = r²
676 cm² - 576 cm² = r²
100 cm² = r²
√100 cm² = r²
10 = r

#9 -Tina wants to construct a path along the diagonal of her yard. What length will the path be? Express your answer to the nearest tenth of a metre.

a² + b² = c²
6² + 12² = c²
36 m² + 144 m² = c²
180 m² = c²
√180 m² = √c²
13.4 m = c

The length of the path will be 13.4 m long

#12-The hypotenuse of the triangle cuts the circle in half. What is the diameter of the circle? Express your answer to the nearest tenth of a centimetre.

a² + b² = c²
7² + 5² = c²
49 cm² + 25 cm² = c²
74 cm² = c²
√74 cm² = √c²
8.6 cm=c

The diameter of the circle is 8.6 cm

#15- The coordinate grid shown was drawn on centimetre grid paper. What is the length of line segment AB? Express your answer to the nearest tenth of a centimetre.

a² + b² = c²
4² +2² = c²
16 cm² +4 cm² = c²
20 cm² = c²
√20 cm² = √c²
4.5 cm = c

The line segment is 4.5 cm.

Homework!! - Pages 30 and 31 in the homework book