SOLUTION: Find the area of a △ that has a={{{ 8 }}}, b={{{ 12 }}} & included angle of {{{ 78 }}}°. A.) {{{ 35.26 }}} B.) {{{ 38.73 }}} C.) {{{ 43.12 }}} D.) {{{ 46.95 }}} Thanks.

Algebra ->  Test -> SOLUTION: Find the area of a △ that has a={{{ 8 }}}, b={{{ 12 }}} & included angle of {{{ 78 }}}°. A.) {{{ 35.26 }}} B.) {{{ 38.73 }}} C.) {{{ 43.12 }}} D.) {{{ 46.95 }}} Thanks.      Log On


   



Question 1068422: Find the area of a △ that has a=+8+, b=+12+ & included angle of +78+°.
A.) +35.26+
B.) +38.73+
C.) +43.12+
D.) +46.95+
Thanks.

Found 3 solutions by Lightning_Fast, ikleyn, josgarithmetic:
Answer by Lightning_Fast(78) About Me  (Show Source):
You can put this solution on YOUR website!
Is it a right triangle? If not, where is the included angle positioned in relation to the sides of a and b?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The area = %281%2F2%29%2Aa%2Ab%2Asin%2878%5Eo%29 = %281%2F2%29%2A8%2A12%2Asin%2878%5Eo%29.

Use your calculator.


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Choose b=12 as the base.

Find the height using a=8 as a hypotenuse of a right triangle and the given angle.
If y is the height , then y%2F8=sin%2878%29
y=8%2Asin%2878%29.


You want area according to the question.
%281%2F2%29yb
highlight_green%28%281%2F2%29%288%2Asin%2878%29%29%2A12%29--------simplify and compute this.