Which measures are the sides lengths of a right triangle?

A2cm, 5cm,10cm
B6cm, 9cm,12cm
C4cm, 7cm,10cm
D6cm, 8cm,10cm

Verified Answer :

naǫ

In a right triangle the square of the longest side is equal to the sum of the squares of the other sides.

a)
\(2^2+5^2=10^2 \\ 4+25=100 \\ 29=100 \\\)
not true
it isn't a right triangle

b)
\(6^2+9^2=12^2 \\ 36+81=144 \\ 117=144\)
not true
it isn't a right triangle

c)
\(4^2+7^2=10^2 \\ 16+49=100 \\ 65=100\)
not true
it isn't a right triangle

d)
\(6^2+8^2=10^2 \\ 36+64=100 \\ 100=100\)
true
it is a right triangle

The answer is D.