Question

Which of the following 3 sets of numbers cannot be the lengths of the sides of a triangle?
A) 4,6,8 B) 2,3,7 C) 5,7,9 D) 7,11,16

Answer 1

Step-by-step explanation:

If a triangle is a right triangle, then the lengths of its sides satisfy the Pythagorean Theorem, a

2

+b

2

=c

2

. To determine which choice is correct, test each set of values by substituting them into the Pythagorean Theorem. Start with the first set of numbers: 3, 13, and 14.

3

2

+13

2

=14

2

9+169=196

178=196

Since the result is not a true equality, the first set of values does not represent the side lengths of a right triangle. Test the other four choices. The only values that satisfy the Pythagorean Theorem are 5, 12, and 13.

5

2

+12

2

=13

2

25+144=169

Answer 2

Step-by-step explanation:

व्हिच ऑफ द फॉलोइंग 3 सेट ऑफ नंबर कैन नॉट बी द लेंथ ऑफ द टाइगर