Math Is Fun Forum

Dharshi

Member

Registered: 2006-10-31

Posts: 56

Any method????

If the points (a,2a) (2a,a), (a,a)and enclose a triangle of area 18 sq units, the centroid of the
triangle is

I tried this problem by finding the area, perimeter, side and then atlast the equation of median
and then find the centroid, and got the ans (4,4)

But my teacher says it is wrong

I dont know wat is wrong?? is tere any other method to solve this?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Any method????

Hi;

I assume a is positive.

Your teacher is right the centroid is at (8,8).

The centroid is located at:

The length of the legs of the triangle are a ( using the distance formula ). The area is a^2 / 2

Solve:

a = 6

Plug into the top formula and you get
( 8 , 8 )

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Dharshi

Member

Registered: 2006-10-31

Posts: 56

Re: Any method????

yup!! got it now thanks

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Any method????

Hi;

Okay, glad to help.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.