Answer:
[tex]\boxed {\boxed {\sf No}}[/tex]
Step-by-step explanation:
If a triangle is a right triangle, it can satisfy Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
12 and 84 are the legs because are they shortest. 85 is the hypotenuse because it is the longest side.
[tex]a= 12 \\b=84 \\c=85[/tex]
Substitute the values into the formula.
[tex](12)^2+(84)^2=(85)^2[/tex]
Solve the exponents.
- 12²= 12*12=144
- 84²=84*84=7056
- 85²= 85*85=7225
[tex]144+7056=7225[/tex]
Add on the right side.
[tex]7200\neq 7225[/tex]
7220 is not equal to 7225, so these sides cannot be a right triangle.
