Question

18. Find the area of the triangle.

Answer 1

Area = 30

Explanation:

Okay, to find the area of this triangle, you have to use the formula
`(bh)/(2)=A`. In this case, we are given the height (if we were given the slant height, we could not solve this problem very quickly, so you HAVE to use the regular size.)

Okay, now we substitute in values.

`(bh)/(2)=A\\\\((6)(10))/(2)=A\\\\(60)/(2)=A\\\\30=A`

So, A = 30 is our final answer.

The detailed reason we cannot use slant height is that if you have any line and then put it on a slant, the size would have to be different. For example, if you have support beams on a building going up and down, if you wanted to make one of them slanted, the length of it would have to increase for it to touch the ground appropriately.

Therefore, we cannot use the slant height because it would be longer than the actual height of the triangle.