Respuesta :

Answer:

8.5 yards

Step-by-step explanation:

The overall triangle, as shown by the line dividing its hypotenuse in 2, can be shown as 2 right triangles whose lengths and widths are both 7.5 and 4. With this in mind we can use Pythagorean theorem or...

  • [tex]a^2+b^2=c^2[/tex]

By plugging in 7.5 and 4 into a and b respectively, we get the equation:

  • (7.5)^2 + (4)^2 = c^2

Now we can square 7.5 and 4, add them together and then square root the resultant to get our final answer.

  • 56.25 + 16 = x^2
  • 72.25 = x^2
  • √72.25 = x
  • x = ±8.5

The length of a triangle cannot be negative so disregard the possible negative value for 8.5.

  • x = 8.5

Answer:

30

Step-by-step explanation:

You know that the area of a triangle is 1/2(bh)

Here, the base is 14 and the height is 15. Multiply 15 by 4, and you get 60, then divide 60 by 1/2 (or 2) is 30. So, the area of this triangle is 30.

Hope this helped!