11. The altitude of a triangle is two-third the length
of its corresponding base. If the attitude increased
by 4 cm and the base decreased by 2 cm, the area
of the triangle remains the same. Find the base
and the altitude of the triangle.
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4
Answer:
2 and 4/3.
Step-by-step explanation:
Given,1). b=x h=2/3of x. then , 2) h=2x/3+4=14x/12. b=x-2. area of 1) =1/2*x*2x/3=X2/3. area of 2)=1/2*14x/12*x-2=7/12(x- 2)=7x/12-7/6=7x=7/6*12=7x=14=X=2. so, b=2 and h=2/3*2=4/3.
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