In triangle ABC, how do you solve the right triangle given sides of length 37cm, 30cm and 30cm?

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Answer 1 · 2018-07-29T19:16:19

We can not solve the right triangle with given length of sides.

Here, given that $triangle ABC$ is the right triangle.

If we take ,

$a=BC=37 ,b=CA=30 and c=AB=30 ,then$

$CA=AB=30=>B=C,$

$and A=90^circ=>mangleB=mangleC=45^circ...!!!$

But let us check the $triangle ABC$ is really right triangle. ???

$a=37=>a^2=1369$

$b=30=>b^2=900$

$c=30=>c^2=900$

So, $b^2+c^2=1800!=1369$

$i.e.b^2+c^2!=a^2=>triangle ABC$ can't construct the right
triangle.

$i.e. color(red)( A=90^circ=>mangleB=mangleC=45^circ "is not possible."$