The formula for the area of a triangle, no matter what kind of a triangle it is, is [tex]A= \frac{1}{2}bh [/tex]. We are told that the height is twice the base, so h=2b. We are also told that the area is 49. ∴, [tex]49= \frac{1}{2}(b)(2b) [/tex] and [tex]49= \frac{2b^2}{2} [/tex] and [tex]49=b^2[/tex]. If we solve for b we get that b = 7 and -7. Since the only 2 things in math that will never EVER be negative are time and distance/length, -7 is out. Our base is 7 then, and our height is 2(7) which is 14.
