Problema Solution
the dimentions of a triangle are such that it's length is 5 in more than it's width.If the length where double and thw wide decereased by 2 inch the area would be increased by 122 ins sq what are the lemgth and width of the triangle
Answer provided by our tutors
let triangle be right angle triangled
it's length is 5 in more than it's width
L=5+W
AREA =A1= 1/2 LW
A1= 1/2(5+W)W
If the length where double and thw wide decereased by 2 inch the area would be increased by 122
L'= 2L
W'= W-2
AREA =A2= 1/2 L'W'= 1/2* 2L(W-2)=
A2 = A1 +122
A2-A1=122
1/2 W(W+5) - 1/2 2L(W-2)=122
W(W+5) -2L(W-2)=244
(W+5)(W- 2W+4)=244
(W+5)(-W+4)=244
W= 239 INCH
AND
W= -240 INCH (NOT POSSIBLE )
FOR W = 239 INCH
L= 244 INCH