Question

Which measures are the sides lengths of a right triangle?

A) 2cm, 5cm,10cm
B) 6cm, 9cm,12cm
C) 4cm, 7cm,10cm
D) 6cm, 8cm,10cm

Answer 1

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.