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Answered

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 :

naǫ
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.

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