Answer:
A. 7 centimetres and 25 centimetres
Step-by-step explanation:
To see if the lengths make a triangle, use the Pythagorean theorem. Insert the biggest value as c (the hypotenuse, which is always the longest side in a right triangle). If both sides equal each other, it is a right triangle:
[tex]a^2+b^2=c^2[/tex]
A.
[tex]24^2+7^2=25^2\\\\576+49=625\\\\625=625[/tex]
This is a right triangle.
B.
[tex]23^2+8^2=24^2\\\\529+64=576\\\\593\neq 576[/tex]
Not a right triangle.
C.
[tex]9^2+22^2=24^2\\\\81+484=576\\\\565\neq 576[/tex]
Not a right triangle.
D.
[tex]24^2+10^2=27^2\\\\576+100=729\\\\676\neq 729[/tex]
Not a right triangle.
Done :D
