Answer: The height of the triangle is 6cm.
Step-by-step explanation: So, the general formula to finding the area of the triangle is as follows....
. This equation means, base (b) multiplied by height (h), divided by 2, which equals to the area of the triangle.
You may ask, why two? Because two triangles make a rectangle ( you can cut a rectangle, then cut it diagonally, you will get two identical triangles. So that is the reason you divide it by two, here it is 6; 3 is not an answer because the area is 27cm, which most peers make mistake in.
To prove this, here is the algebraic way to deal with this:
, we can replace these letters, we can replace "b" with 9 and "a" as 27. We are not replacing "h" as we have to figure it out. The equation now becomes :
Now, we have to solve this for "a", we have to move all the digits to the other side except "h", to figure out the value of "h".
So, we multiply by 2 for both sides, as opposite of multiplication is division, to get rid of the 2.
So, the equation becomes :
Now, we have to get rid of 9, we can simply do it, by, dividing by 9 on both sides.
÷9. ÷9
Which becomes :
So our final answer is 6. Hope this helps!
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