Function

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A rectangle with altitude 'x' is inscribed in a triangle ABC with base 'b' and altitude 'h' .
Express the perimeter P and area S of the rectangle as functions of 'x'

#Mathematics #Calculus

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7 Answers

1.618 ·2010-05-08 08:17:31

h-\frac{p}{3}=x
\Rightarrow p=3(h-x)

Therefore,
perimeter=6(h-x)+2x

And,

Area=3x(h-x)

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1.618 ·2010-05-08 08:23:39

Kuch ajeeb hai...'b' aaya hi nahi!!

but that p/3 is ok...so..??

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minch ·2010-05-08 08:48:25

my answer

is it correct

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1.618 ·2010-05-08 08:53:29

I guess i made a blunder.

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minch ·2010-05-08 19:54:07

sry as somethin gonne wrong with my scanner
but the solution

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minch ·2010-05-08 19:59:39

now area can b find
it is
BE*BC
AREA=S=x*2a
=x*b(h-x)/h

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minch ·2010-05-08 20:02:34

this quest can also b done by trigonometric ratio

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Basic Integral Calculus Operators Symbols Matrix Cases

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∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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Function

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