Answer: D) 9, 12, 15
Step-by-step explanation:
The side lengths need to satisfy the Pythagorean theorem, [tex]a^{2}+b^{2}=c^{2}[/tex]
A) [tex]2^{2}+3^{2}=4^{2} \longrightarrow 13=16[/tex], which is false.
B) [tex]7^{2}+11^{2}=14^{2} \longrightarrow 170=196[/tex], which is false.
C) [tex]8^{2}+10^{2}=12^{2} \longrightarrow 164=144[/tex], which is false.
D) [tex]9^{2}+12^{2}=15^{2} \longrightarrow 225=225[/tex], which is true.
