What is the height of a triangle with an area of 10 square inches and a base of 5 inches?

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Answer 1 · 2015-09-08T23:37:38

The height is #4# inches.

For a triangle, we have Area = #1/2# base times height.

With #a# = area, #b# = base and #h# = height, we have:

#A = 1/2bh#

We are told that #A = 10# square inches and #b = 5# inches, so we need to solve (find #h#) for:

#10 =1/2(5)h#

We can get rid of the fraction by multiplying by #2# on both sides:

#20 = 5h# Now divide noth sides by #5# (or multiply by #1/5#, to get

#20/5 = (5h)/5# so #4 = h#

The height is #4# inches.