Respuesta :
We know that the formula for the Area, A of a triangle is given as:
[tex] A=\frac{1}{2}\times base\times height [/tex].....(Equation 1)
In our question we already know that [tex] A=202.5 mm^2 [/tex] and
[tex] height=15 mm [/tex]
Substituting these values in (Equation 1) we will get:
[tex] \frac{1}{2}\times base\times 15=202.5 [/tex]
Multiplying both sides by 2 we will get:
[tex] 15\times base=405 [/tex]
In-order to find base we will isolate it by dividing both sides by 15. Thus, we get:
[tex] base=\frac{405}{15}=27 mm [/tex]
Thus, the answer is, base=27 mm.