Answer:
[tex]\boxed {\boxed {\sf No, \ not \ a \ right \ triangle}}[/tex]
Step-by-step explanation:
If a triangle is a right triangle, it will satisfy Pythagorean's Theorem.
[tex]a^2+b^2=c^2[/tex]
When a and b are the legs of the triangle and c is the hypotenuse.
4 and 8 would be the legs of the triangle. 9 would be the hypotenuse because it is the longest side.
[tex](4)^2 + (8)^2 = (9)^2[/tex]
Solve the exponents.
[tex]16+64=81[/tex]
Add on the left side of the equation.
[tex]80=81\\80 \neq 81[/tex]
80 is not equal to 81. The triangle does not satisfy Pythagorean's Theorem, so it cannot be a right triangle.
