Question

The area of a triangle is 45.5 cm2 and the base is 10 cm.

Answer 1

Simple...

to find the height of a triangle-->>

Formula: $h_{b} =2 \frac{A}{b}$  -->> Where A=Area and b=base

Now plug in what you know...

$h_{b} =2 \frac{45.5}{10}$

$h_{b} =2(4.55)$

$h_{b} =9.1$ cm.

Thus, your answer.

Answer 2

The area of a triangle is A=1/2b*h
You have the base (b) and you have the area (A)
So, if you plug in what you know, you get this:
45.5=1/2*10*h
Simplify it:
45.5=5h

Now solve for h
Divide by 5 to get h alone:
9.1=h

Your height is 9.1cm
Hope this helps :)