
Ebenezer O. answered 01/06/14
Tutor
4.6
(13)
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 = h2
and now to find h, we'll find the square roots of h2 and 16 which give us;
√ 16 = √ h2
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.