Friday, July 4, 2008
i guess many of you
don't know about the math homework Ms Mong put in our class this afternoon... there are still many pieces left in class. Its due on
Tuesday, so I'll post the questions here so u all can do, then copy onto the worksheet on
Tuesday.
Pythagoras Theorem
Supplementary Worksheet 1
1. A B C D is a square of side 15cm, find the length of the diagonal AC.
2. A 5.4m long ladder leans against a vertical wall with its top at a height of 4.2m above the ground. Find the distance of the base of the ladder from the wall.
3. The lengths of a triangle ABC are AB = 5cm, BC = 4.8cm and AC = 1.4cm. State with reasons whether triangle ABC is a right-angled triangle.
4. In the diagram*, angle CKB = 90 degrees, KB = 6cm, AC = 18cm and AK = CK = x cm. Calculate
(a) the lengths of x and y.
(b) the area of triangle CKB
(*diagram: there's a triangle ABC, where K is a point on AB, whereas AK = CK = x cm, CB = y cm, angle CKB is a right angle, AC = 18cm.)
for question 5, there's quite a few errors so i posted both the original question and what i think it should be.
Original question:
5. The length of the right-angled triangle ABC where angle ABC = 90 degrees, AB = (3
x+1) cm, 13 C = (
x-4) and AC = (3
x+2)cm. Calculate the value of
x and find the area and find the area and perimeter of triangle ABC.
I think it is:
5. A right-angled triangle ABC where angle ABC = 90 degrees, AB = (3x+1) cm, BC = (x-4) and AC = (3x+2)cm. Calculate the value of x then find the area and perimeter of triangle ABC.
6. A rope is tied from the top of a vertical pole to a point 3.2m from the foot of the pole. If the pole is 8.2m high, how long is the rope?
thats all
(I changed the degree and triangle symbols to words cos i dont have the symbols on the computer..)
good luck!
Aaron
