1 answer

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

Question:

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

Answers

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."#

.

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