The measure (in inches) of the sides of triangle RIO are equivalent to three consecutive odd integers. The perimeter is 201 inch
es. Which of the following statements are correct? Select all that apply. The triangle is obtuse. The triangle is scalene. The smallest side measures 61 inches. The largest side measures 69 inches. If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller.
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 <span>sides of triangle RIO are </span>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
<span>statements 1) </span><span>The triangle is obtuse--------> is false </span>Is acute angle triangle <span> 2) </span><span>The triangle is scalene-----> is correct The three sides measures are diferent
3)</span><span>The smallest side measures 61 inches--------> is false </span><span>The smallest side measures 65 in </span><span> 4)</span><span>The largest side measures 69 inches-------> is correct </span><span> 5) </span><span>If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller </span><span>If triangle RIO is dilated of 1/3, then news sides are </span>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
