Let
x-------------> first odd integer
x+2---------> second odd integer
x+4---------> third odd integer
we know that
(x)+(x+2)+(x+4)=201--------> 3x+6=201--------> 3x=195-------> x=65
the three sides of triangle RIO are
x=65 in
x+2-----> 65+2-----> 67 in
x+4----> 65+4------> 69 in
then
69²=4761----------> c²
(65²+67²)=8714--------> a²+b²
c² < (a²+b²)---------> the triangle RIO is not obtuse
Is acute angle triangle
statements
1) The triangle is obtuse--------> is false
Is acute angle triangle
2) The triangle is scalene-----> is correct
The three sides measures are diferent
3)The smallest side measures 61 inches--------> is false
The smallest side measures 65 in
4)The largest side measures 69 inches-------> is correct
5) If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller
If triangle RIO is dilated of 1/3, then news sides are
65/3------> 21.67 in
67/3-------> 22.33 in
69/3------> 23 in
the new perimeter is=21.67+22.33+23------> 67 in
201-67=134 in
therefore
If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller----------> is false
Because the perimeter of the dilated triangle will be 134 units smaller
