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Verified Answer :

The area of a triangle is A=1/2bh
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 :)

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.