Geometry pls help!!!
An isosceles triangle has area of 105 ft2. If the base is 10 ft, what is the length of each leg? Round your answer to the nearest tenth.

Question

Geometry pls help!!! 
An isosceles triangle has area of 105 ft2. If the base is 10 ft, what is the length of each leg? Round your answer to the nearest tenth.

anonymous · Answer

a.21.6ft
b.541ft
c.14.6ft
d.23.3ft

solomonzelman · Answer

assuming that the base is not one of the equal sides.

solomonzelman · Answer

|dw:1387117043671:dw|

solomonzelman · Answer

$$x^2-5^2=~~hieght$$$$(x^2-25)\times 5~=~52.5$$

solomonzelman · Answer

$$5x^2-125=52.5$$$$5x^2=177.5$$$$x^2=35.5$$$$x=\sqrt{35.5}$$

solomonzelman · Answer

See how I did it, I found the height in terms of x.

solomonzelman · Answer

$$\sqrt{35.5}=\sqrt{335}~\times~1/10$$I think this is it.

anonymous · Answer

i understand but the answer is none of the given?

solomonzelman · Answer

Yes, I probably made an error, I'll redo it....

solomonzelman · Answer

|dw:1387117895716:dw|
a.21.6ft
b.541ft
c.14.6ft
d.23.3ft

solomonzelman · Answer

$$5~\times~h~\times 0.5=~52.5$$

solomonzelman · Answer

$$h=52.5~\div~0.25~~=~~21$$

solomonzelman · Answer

$$\sqrt{5^2+21^2}=x$$

solomonzelman · Answer

$$x=\sqrt{466}≈21.6$$

anonymous · Answer

thank you!!!

solomonzelman · Answer

Yes, when I got sqrt{35.5} I was totally fricked out, this time I am sure I am right.
Anytime. and ty.

anonymous · Answer

hey can you pls help me with just one more question?

solomonzelman · Answer

Yes, but post it in a new thread if you can please.

anonymous · Answer

ok