Question

Pythagorean theorem and its converse

`{x}^(2) + {5}^(2) = {15}^(2)`

Answer 1

`x^2+25=225 \\ x^2=200 \\ √(x^2)= √(200) \\ x=14.14 \\ or \\ x=10 √(2)`
If

`c^(2) \ \textless \ a^2+b^2` the triangle would be acute
If

`c^2=a^2+b^2` the triangle would be right
If

`c^2\ \textgreater \ a^2+b^2` the triangle would be obtuse
Hope this helps!