Question

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 allitude of rectangle
​

Answer 1

Answer:

Step-by-step explanation:

Let the base=xcm

altitude=2/3xcm

area of triangle=1/2×base×height

=1/2×x×2/3x

=1/2×2/3x2cm2(1)

area=1/2(x-2)(2x+12/3)_(2)

1÷2×2÷3x2=1÷2(x-2)(2x+12÷3)

2x2=1÷2(x-2)(2x+12÷3)×2×3

2x2=(x-2)(2x+12)

2x2=2x2+12x-4x-24

2x2=2x2+8x-24

2x2-2x2-8x=-24

-8x=-24

x=24÷8

=3

so,base=3cm

and,altitude=2/3x

=2/3×3

=2cm.