Respuesta :

Given a triangle with base b and perpendicular height h, then

[tex]\text{ the area of the triangle = }\frac{1}{2}\times bh[/tex]

b = m, h = n,

[tex]\text{ the area of the triangle = }\frac{1}{2}mn[/tex]

Given a rectangle with length l and width w, then

[tex]\text{ the area of the rectangle = }l\times w[/tex]

In this case,

l = n and w = m

Therefore,

[tex]\text{ the area of the rectangle = }mn[/tex]

Therefore,

the area of the triangle TRI is half the area of the rectangle RECT