Question

The area of a right triangle is 49 square meters. the height is twice as long as the base.

Answer 1

The formula for the area of a triangle, no matter what kind of a triangle it is, is
`A= (1)/(2)bh`. We are told that the height is twice the base, so h=2b. We are also told that the area is 49. ∴,
`49= (1)/(2)(b)(2b)` and
`49= (2b^2)/(2)` and
`49=b^2`. 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.