Question

The height of a triangle is 8 yd longer than the base x. The area is 192 yd?

Answer 1

Answer:

Base is 16 yards and the height is 16+8=24 yards.

Step-by-step explanation:

So the base is x,

therefore, the height is x+8.

So $x$×$(x+8)=192$×$2$

(Sorry, I already timed 2 on both side of the equation)

$x^{2} +8x=384\\x^{2} +8x-384=0\\Using the formula:\\When /ax^{2} +bx+c=0\\\\Then / x=\frac{-b +- \sqrt{b^{2} -4ac} }{2a}$

(The +- is plus or minus)

So x=16 (Sorry for the lack of calculation, but its just too hard to write this on brainly, so here's the answer)

Base is 16 yards and the height is 16+8=24 yards.

Have a nice day :)

Answer 2

Answer:

192 = (x^2 + 8x)/2

Step-by-step explanation:

we know the base is x and the height is x+8.

Area of the triangle is 1/2 bh.

we know h and x

if we take area to be 192, we can write the area to be;

1/2 x(x+8) =A

$192 =\frac{x^{2}+8x }{2}$