In a right triangle the square of the longest side is equal to the sum of the squares of the other sides.
a)
[tex]2^2+5^2=10^2 \\
4+25=100 \\
29=100 \\
[/tex]
not true
it isn't a right triangle
b)
[tex]6^2+9^2=12^2 \\
36+81=144 \\
117=144[/tex]
not true
it isn't a right triangle
c)
[tex]4^2+7^2=10^2 \\
16+49=100 \\
65=100[/tex]
not true
it isn't a right triangle
d)
[tex]6^2+8^2=10^2 \\
36+64=100 \\
100=100[/tex]
true
it is a right triangle
The answer is D.
