Find the area of given that
cm,
cm, and
.
(correct answer)
Explanation: Using the formula for area of a triangle equal to , drawing
and labelling its sides, angles, and height h, then using triangle trigonometry and substitution, we can derive the formulae
, which can be used to find the area of a triangle when we know two of its sides and the included angle. Plugging in, we get:
Therefore, the area of the triangle is 95.38 square centimeters.