SOLUTION: the triangular-shaped patio has sides 23ft, 17ft, and 26ft. Find the number of square feet of surface area to be covered with concrete?
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Question 869828: the triangular-shaped patio has sides 23ft, 17ft, and 26ft. Find the number of square feet of surface area to be covered with concrete?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Draw a triangle; mine goes like this:
Base of 26, left side is 17, right side is 23. The altitude runs from the top vertex, meeting perpendicularly to the 26 length base. Angle measure t is the intersection at the left for he 17 and the 26 lengths sides.
Law Of Cosines gives,
.
skipping the steps,
.
Pythagorean Identity,
. simplification steps
. more simplifications,
AREA was wanted.
A for Area.
, where "altitude" is the height.
The altitude is , and we now found sin(t).
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