Answer:
108.8yd²
Step-by-step explanation:
Area of a Side Angle Side triangle : Area = 1/2 ( a × b ) × sin(c)
where a and b = the side lengths and c = the angle
Here the given side lengths are 23yds and 9.5yds and the angle given has a measure of 85° so a = 23, b = 9.5 and c = 85
Area = = 1/2 ( a × b ) × sin(c)
a = 23 , b = 9.5 and c = 85
Area = 1/2 ( 23 × 9.5 ) × sin(85)
==> multiply 23 and 9.5
Area = 1/2 ( 218.5 ) × sin(85)
==> multiply 1/2 and 218.5
Area = 109.25 × sin(85)
==> multiply sin(85) and 109.25
Area = 108.8yd²
Note: When the triangle is not a right triangle ( when there is no 90° angle ) we have to use a special formula in order to find the area. Here this is given a side an angle and a side, when given a side an angle and another side you can solve using the formula Area = 1/2 ( a × b ) × sin(c)
