Question

Solve each triangle?round answer to the nearest tenth?one number after decimal?

Answer 1

The only right isosceles triangle has `45^circ`angles so this is an impossible triangle. No real triangle has congruent sides opposite different angles -- Law of Sines.

Answer 2

Impossible triangle- see below

Explanation:

This triangle can't exist, because for all `30-60-90` triangles, the side lengths are given by

`color(blue)(x: xsqrt3): color(plum)(2x)`

where the blue expressions represent the side lengths and the plum expression represents the hypotenuse.

The only right triangle that can have two sides of equal length is the `45-45-90` triangle, where the lengths are given by

`x:x:xsqrt2`