How do you determine the number of possible triangles and find the measure of the three angles given $BC=12, AC=12sqrt2, mangleB=135$ ?

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Answer 1 · 2016-12-22T02:59:08

$135^@,30^@,15^@$

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Given that $angleABC$ is obtuse, and $AC>BC$ , one such triangle exists.

Given $angleABC=135^@, AC=12sqrt2, and BC=12$ ,

$=> sinx/12=sin135/(12sqrt2)=1/24$
$=> sinx=12/24=1/2$
$=> x=sin^-1(1/2)=30^@$
$y=180-135-30=15^@$

How do you determine the number of possible triangles and find the measure of the three angles given BC=12, AC=12sqrt2, mangleB=135BC=12, AC=12sqrt2, mangleB=135?