Which side lengths form a right
triangle
Choose all answers that apply:
A
3,√9,√18
B
3, 4, 5
С
7, 7, √98
Answers
Answer:
All
Step-by-step explanation:
All of them satisfies condition of Pythagoras Theorem.
So, they form right angled triangle.
Condition of Pythagoras Theorem
Hypotenuse² = Base² + Length²
Answer:
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
169=169