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

1 Answer
Jul 29, 2018

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

Explanation:

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."#