Answer:
The larger triangle is not right-angled
Step-by-step explanation:
This problem will be solved using a proof by contradiction.
Assume the larger triangle is right-angled, then Pythagoras Theorem would be applicable. Pythagoras Theorem is applicable if and only if the triangle is right-angled.
Recall that Pythagoras Theorem says that [tex]A^{2} + B^{2} = C^{2}[/tex] where A and B are the sides adjacent to the right angle and C is the hypotenuse.
[tex]8^{2} + 19^{2} = (16+6)^{2} \implies 8^{2} + 19^{2} = (22)^{2} \implies 64 + 361 = 484[/tex]
Now that last expression obviously does not hold and therefor we reached a contradiction and thus the larger triangle is not right-angled.
