Question

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

Answer 1

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."`