Ebenezer O. answered • 01/06/14

Aerospace Engr & Air Traffic Control Grad For General Ed. Tutoring

Well to answer this you've got to know what the area of a triangle is:

The formula for solving the area of a triangle is:

Area of a Triangle = 1 /2 Base * Height which is;

A = 1/2 b * h

Now given A = 16 and b = 2h (2 times the height), we'll substitute the values into the formula

were A = 16 and b= 2h

16 = 1/2 (2h) * h

16 = (2h / 2) * h

16 = ( h )* h .............[note 2h is divided by 2 which leaves us with just h]

16 = h

^{2}and now to find h, we'll find the square roots of h

^{2 }and 16 which give us;√ 16 = √ h

^{2}which gives;

4 = h

therefore, the height h = 4

Further more, if you are asked to find the length of the base, you'd just substitute the values of A and h into the formula.

That would be;

A = 1/2 b * h

A = 16, b = ? and h = 4

we'd have;

16 = 1/2 b * 4

16 = 4b / 2

16 = 2b

and the solve for b by dividing both sides by 2

16 / 2 = 2b / 2

8 = b

so the Base b = 8.

Hope this helps.