Respuesta :

Answer:

I'm assuming that you want the area of the triangle, so the answer would be [tex]14 units^{2}[/tex]. However, this triangle is not possible because it does not follow the Pythagorean Theorem.

Step-by-step explanation:

The area of a triangle is [tex]\frac{1}{2} bh[/tex] where [tex]b[/tex] is the base and [tex]h[/tex] is the height.

In this triangle, the base is 7 and the height is 4, however, the base and height are interchangeable as long as they both share the right angle.

so the area is [tex]\frac{1}{2}[/tex]×[tex]4[/tex]×[tex]7[/tex] [tex]= 14[/tex]

This triangle is not possible:

[tex]4^2 + 7^2[/tex] ≠ [tex]8^2[/tex]

because [tex]16 + 49[/tex] ≠ [tex]64[/tex].