The point of concurrency of the medians of a triangle is called the _____
circumcenter.
orthocenter.
centroid.
incenter.
centroid.
Which center of a triangle is also the center of gravity of the triangle?
incenter
orthocenter
centroid
circumcenter
centroid
Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side?
equal to 25
less than or equal to 25
less than 25
more than 25
The third side of a triangle must be greater than the difference but less than the sum of the other two sides. Therefore, the length of the third side must be less than 10 + 15 = 25. So the correct answer is: less than 25
Are you sure?.?
I made an error in my previous response, and I apologize for that. The third side of a triangle must be greater than the difference but less than the sum of the other two sides according to the triangle inequality theorem.
Given sides of the triangle are 10 and 15, the third side must be greater than |10 - 15| = 5 and less than 10 + 15 = 25.
Therefore, the length of the third side must be less than 25 and more than 5. So the correct answer is: less than 25.
Read the following statement.
Maria passed the English exam.
What is the negation of this statement?
Maria may not have passed the English exam.
Maria did not take the English exam.
Maria took the English exam.
Maria did not pass the English exam.