Question

If the area of a triangle is 200 sq. ft. and one side is 12 ft., the other is 5x ft., what does x have to be?

Answer 1

To find the value of x in the given triangle, you can use the formula for the area of a triangle:

\[Area = (1/2) * base * height\]

In this case, you have the area (200 sq. ft.) and one side (12 ft.), and the other side is 5x ft. You can set up the equation as follows:

\[200 = (1/2) * 12 * (5x)\]

Now, simplify and solve for x:

\[200 = 6 * 5x\]

Divide both sides by 30 to isolate x:

\[x = 200 / (6 * 5) = 200 / 30 = 20 / 3\]

So, x is equal to 20/3 or approximately 6.67 feet.