Which of the following are true statements. The lengths 14, 24 and 26 can not be sides of a right triangle. The lengths 30, 72, and 78 can not be sides of a right triangle. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
.The lengths 14, 24 and 26 can not be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can not be sides of a right triangle.

Question

Which of the following are true statements.  	 	The lengths 14, 24 and 26 can not be sides of a right triangle.  The lengths 30, 72, and 78 can not be sides of a right triangle.   	The lengths 14, 24 and 26 can be sides of a right triangle.  The lengths 30, 72, and 78 can be sides of a right triangle.  
.The lengths 14, 24 and 26 can not be sides of a right triangle.  The lengths 30, 72, and 78 can be sides of a right triangle. 
The lengths 14, 24 and 26 can be sides of a right triangle.  The lengths 30, 72, and 78 can not be sides of a right triangle.

anonymous · Answer

This isn't too difficult, it just requires a lot of repetition.  You need to test each set of sides.   Pythagoreans theorem should prove useful.  a^2 + b^2 = c^2  a and b are your shortest sides and c is the longest side.  If it's true then it's a right triangle, if it's false then it's not a right triangle.   For example, your first question.  14^2 +24^2 =26^2   This translates to 196+576=676  Is that true?  772 is not equal to 676 so your first line is NOT a right triangle.  Is that enough information? :)