Complete DQ below, math homework help
Complete each question below between 80-90 words. For questions 3, 4 and 5 please respond back to the following post with your thoughts. (for example “i agree …….”
1.) Can a right triangle be scalene, isosceles, or equilateral? Why or why not? What are the advantages and disadvantages of classifying triangles by sides or angles?
2.)Describe the relationship between a triangle’s centroid and orthocenter. Do they need to be inside the triangle? Provide an example of a real-life application of either the centroid or orthocenter.
3. The centroid of a triangle is the point at which all three medians of the triangle intersect and the orthocenter is the point of the triangle where all three altitudes of a triangle intersect. The centroid does need to be inside the triangle by nature of the definition however the orthocenter can be a vertex of a right triangle. Therefore, it would not necessarily be within the triangle. It’s been a long day and I’m struggling to come up with a real life example of either a centroid or orthocenter. All I can come up with is if three people were standing at an intersection and crossed at the same time, the point in which they would meet in that intersection would be the centroid.
4.)There are many different variations of the right triangle. A right triangle can be a scalene triangle. A scalene triangle angles are different and the lengths of the sides are different. The only way for a right triangle to be an isosceles triangle, a 90 degrees angle and two 45 degree angles. A right triangle cannot be an equilateral because he angles are all equal, the angles are all 60 degrees.
5.)A right triangle can be either scalene or isosceles but not equilateral. An equilateral triangle have three identical angle measures. Since the three angles of any triangle measure 180 degrees, it would be impossible for one of those angles to be 90 degrees. A right triangle can still maintain one 90 degree angle and be scalene (no two sides are equal in length) or isosceles (two sides are congruent).
The advantage to classifying triangles is that it gives you a more accurate picture of the triangle and most times, an important piece of information when trying to figure either length or angle measure.
