SOLUTION: The vertex angle of an isosceles triangle is 80%. find the area if the measure of the congruent sides are 14in. round to the nearest tenth.

Question 1035431: The vertex angle of an isosceles triangle is 80%. find the area if the measure of the congruent sides are 14in. round to the nearest tenth.

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
You must mean to say "degrees" and not "percent". This would seem to perfectly fit the use of Law of Cosines.

and b is for base size of the triangle.

Next, you want the height. Your base angles each are 50 degree. The height segment forms two right triangles, each with a leg .

Area will be ; and you would now already have calculated b. You might just use Pythagorean Theorem formula, .
Answer by ikleyn(52915) (Show Source): You can put this solution on YOUR website!
.
The vertex angle of an isosceles triangle is 80�. find the area if the measure of the congruent sides are 14 in. Round to the nearest tenth.
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S = . = 14*sin(40�) ( 40� = ) h = . -------> S = 14*sin(40�)*14*cos(40�) = = 98*sin(80�) square inches.

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