Are the lines perpendicular? x = 3 and y = 5 *
1 answer:
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Answer:
Option A
Step-by-step explanation:
we know that
The <em><u>Triangle Inequality Theorem</u></em> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
<u><em>Verify each case</em></u>
case A) we have
we know that
Applying the Triangle Inequality Theorem
1) 5+6 > 1.73 -----> is true
2) 5+1.73 > 6 ----> is true
therefore
The side lengths can represent the sides of a triangle
case B) we have
we know that
Applying the Triangle Inequality Theorem
1) 1.41+3 > 5 -----> is not true
therefore
The side lengths can not represent the sides of a triangle
case C) we have
Applying the Triangle Inequality Theorem
1) 1+2 > 3 ----> is not true
therefore
The side lengths can not represent the sides of a triangle
case D) we have
Applying the Triangle Inequality Theorem
1) 2+5 > 8 ----> is not true
therefore
The side lengths can not represent the sides of a triangle