Respuesta :

Answer:

Base = 16, height 64

Step-by-step explanation:

It's a triangle so u have to multiply it with 1/2 or divide by 2, x will equal both height and base:

(1/2)4x^2 = 512

Multiply 2 to both sides

4x^2 = 1024

divide both sides by 4

x^2 = 256

[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{256}[/tex]

x = 16, base is 16 and height is 16(4) = 64

Alright this took me some time but I got it now, u might think why 16 and 64? 16 times 64 is not 512, but the equation for a triangles area is [tex]\frac{b h}{2}[/tex] or b·h·1/2 , so if u plug the numbers into the equation it will equal 512:

16 · 64 · 1/2= 1024 · 1/2 = 512

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