WEBVTT
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So we have a question and this went to find
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the dimensions of the rectangle of largest area. Oh
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okay. That could be described in an equator triangle
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. This is it. This is an equilateral triangle
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. Okay. Yeah. Mhm. Okay. So
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if abc is any critical triangle and this is the
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rectangle, suppose X. And why rectangle? Okay
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. Uh If one side of England base, so
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we have to find the damages of the tangle of
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largest area. So area of the rectangle is x
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. Com away area should be the largest. And
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this is and this is also if this is l
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this is X. So this will pay this part
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will be l minus X by two And this part
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will be held-X by two. Okay, because
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the whole thing some Okay, yes, no,
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this is 60 degrees 60°. So if we apply the
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trigonometry, Okay, trigonometry over here in the strangle
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this is why. So we can say that 10
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60° equal to Vibe, I l minus X by
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2. 10 sixties. Route three Equal to two
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I buy l minus x. Yeah. Ellis constant
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. So we have to our motivates to convert this
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in a single variable from here, we can do
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that. So why will be called to Route three
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x 2, L minus X. So you just
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plug in here a call to X into Y accent
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too. That route three x 2. Route three
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x 2 and L-X from here. So this
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is a route three x 2, L x minus
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access squad. We have to maximize the minutemen for
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maximum minimum. We have to differentiate this with respect
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to X. And we'll be finding first the critical
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point which will be we can find by equating the
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by T X equal to zero. So X equal
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to alibi too. No, it is just be
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sure that X equals 12 x two is a point
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of maximum or minimum. So, let us double
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different shape this again differentiating the rdX the Squire A
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by the X squared. So this will be route
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three x 2 Into-2. So-2 or three
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which is negative. So maximum X equal to alibi
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too. And why call to route three x 2
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L-X. All right. Call to Rule three
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x 2. L- L x two. So
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Rule three way too. Al by two. So
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dimensions are length X equal to Al by two.
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And we're Why call to Ruth Real by four.
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Yeah. Okay. So these are the dimensions.
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Thank you.