A sail is in the form of a right triangle that is four times as high as it is wide. The sail is made from 8 square meters of material. What is the height?

Respuesta :

check the picture below

surely you know how much "x" is

so the height is 4x
Ver imagen jdoe0001

Answer:

The height is 8 feet.

Step-by-step explanation:

The area of a right triangle is given as :

[tex]A=\frac{base\times height}{2}[/tex]

We have been given the area as 8 square meters.

Let the base be = b

The sail is four times as high as it is wide, so the height will be = 4b

Putting the values in formula:

[tex]8=\frac{b \times 4b}{2}[/tex]

[tex]8=\frac{4b^{2}}{2}[/tex]

=> [tex]4b^{2} =16[/tex]

=> [tex]b^{2} =4[/tex]

b=2

So, the base is 2 feet.

And the height will be [tex]4\times2=8[/tex] feet.