Posted by **Oswaldo** on Tuesday, October 19, 2010 at 10:53am.

find the area of the largest posible isosceles triangle with 2 sides equal to 6. thanks

- Calculus 1 -
**Bosnian**, Tuesday, October 19, 2010 at 12:03pm
h-hight , a-thirth side of triangle

al-angle ALPHA , A-area

sin(al)=(h/6) , h=6*sin(al)

cos(al)=(a/2)/6 =( a/12) , a=12*cos(al)

A=(1/2)a*h=(1/2)*6*sin(al)*12*cos(al)

=(1/2)*72*sin(al)*cos(al) =36*sin(al)*cos(al) =18*(2*sin(al)*cos(al))=18*sin(2al)

=dA/dal)=18*2*cos(2al=0 , cos(2al)=0

2al=90 al=45

- Calculus 1 -
**Bosnian**, Tuesday, October 19, 2010 at 12:20pm
h=6*sin(45)=6*(1/2)=6/2

a=12*12*cos(45)=12*(1/2)=12/2

A=(1/2)a*h=(1/2)6/2*12/2

=(1/2)*(1/2)/*1/2)*72=(1/2)*(1/)*72

=(1/4)*72= 18

Largest posible area= 18

- Calculus 1 -
**Bosnian**, Tuesday, October 19, 2010 at 12:28pm
2 is square root

Area=(1/2)*(1/2)*72=18

- Calculus 1 -
**Oswaldo**, Tuesday, October 19, 2010 at 2:46pm
thanks

## Answer this Question

## Related Questions

- Calculus - An isosceles triangle has a vertex at the origin. Determine the area ...
- isosceles triangle - An isosceles triangle is a triangle that has two equal ...
- Calculus - An isosceles triangle is to be drawn with its two equal sides of ...
- calculus - Find the lenght of the sides of an isosceles triangle with a given ...
- Geometry - Can anybody help me with this word problem? A homeowner, who loves ...
- Calculus - 4. Find the dimensions of the largest isosceles triangle having a ...
- geometry - The perimeter of an isosceles triangle is 42 cm . its base is 2/3 ...
- calc - An isosceles triangle has an area of 24 yd, and the angle between the ...
- algebra - As isosceles triangle has two sides of equal length. If the third side...
- calculus - An isosceles triangle is drawn with its vertex at the origin and its ...

More Related Questions