The altitude of a triangle is two-thirds the length of its corresponding base. If the altitude is decreased by 1 cm and the base is increased by 4 cm, the area of the new triangle remains the same. Find the base and the altitude of the original triangle.
Answers & Comments
Let the base be =x
Altitude =
3
2
x
Area =
2
1
×x×
3
2
x=
3
x
2
New altitude =
3
2
x+4
New base =x−2
New area =
2
1
×(x−2)×(
3
2
x−4)
New area =
2
1
×(x−2)×(
3
2x−12
)
As per the given condition,
x
2
=(x−2)(x−6)
x
2
=x
2
−2x−6x+12
8x=12
Base x=1.5 cm
Altitude=1 cm
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Verified answer
the phenomenon of movement of particles from their higher concentration to their lower concentration to attain equilibrium is called diffusion
Whats the meaning of equilibrium here?
Step-by-step explanation:
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