1. A rectangle ABCD is cut into two pieces along the dotted line as shown above. The two pieces are then rearranged to form a right-angled triangle. Find
(a) the area,
(b) the perimeter of the triangle.2.
Another rectangle with dimensions x cm and y cm is cut into two pieces along the dotted line as shown. If the perimeter of the right-angled triangle formed is 70 cm, and x and y are whole numbers, find the values of x and y .
3 comments:
1.a)5*24=120cm sq
b)root(5sq+12sq)
=root(25+144)
=root(169)
=13
13+13+5+5+24=60
1a)5*24=120cm sq
1b)using pythagoras' theorem
root(5*2)sq+(24)sq
=26
26+(5*2)+24
=60
2.(y/2)sq*x sq=c sq
using pythagoras' theorem
x=3,y=2,c=5
The answer fulfil
70/(y+x+c)=whole number
Therefore,x=3,y=2
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