Question
Asked Nov 14, 2019
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The fixed sides of an isosceles triangle are of length L = 8 cm. (See the figure.)
L cm
L cm
If the sides slide outward at a speed of 7 cm/min, at what rate is the area enclosed by the triangle changing when 0 = 30°?
(Use symbolic notation and fractions where needed.)
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The fixed sides of an isosceles triangle are of length L = 8 cm. (See the figure.) L cm L cm If the sides slide outward at a speed of 7 cm/min, at what rate is the area enclosed by the triangle changing when 0 = 30°? (Use symbolic notation and fractions where needed.)

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Expert Answer

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Step 1

First of all, considering the half right-angled triangle whose area will be the same as the other half right-angled triangle. The isosceles triangle can be divided into two equal half right-angled triangle by the height of the triangle.

L = 8 cm, dx/dt = 7 cm/min

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L8 x

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Step 2

Now, using the cosine formula get the value of h.

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h cos e h= Lcose = 8cos e

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Step 3

Now, calculating the area of a right-angled triangle.

Then calculating the area for both the triangles to get the area of the total isosceles triangle.

The total area of the isosceles triangle will be twice the area of...

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area=xhxx 2 total area =2x-xhxx hxx

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Math

Calculus

Derivative