MTH 157

posted by .

I need help on these two questions.
1. Describe what happens to the three points of concurrency that determine the Euller lines when the triangle is (a) isosceles, (b) equilateral
2. Which of the following triples of numbers can be the sides of a right triangle? Explain why. (a)square root 3, square root 4, square root 7, (b) 0.3, 0.4, 0.5, (c) 10, 24, 26, (d) 2, 3, 4
I have tried to look up these but don't get how to work them or what I am looking for.

  • MTH 157 -

    1. When the triangle is isosceles, the three points are collinear, i.e. a straight line passes through the three points.
    In the case of an equilateral triangle, all three points coincide at the centroid of the triangle.

    See also:
    http://en.wikipedia.org/wiki/Euler_line


    2. Use Pythagoras theorem, which states that the square of the hypothenuse (the longest side) of a right-triangle is equal to the sum of the squares of the remaining sides.
    For example,
    3²+4²
    =9+16
    =25

    =25
    Therefore the triangle 3,4,5 is a right-triangle.

  • MTH 157 -

    Thank you for the help. When you gave the example of question 2 is that I need to put for explaining my answer?

  • MTH 157 -

    Yes, explanations similar to the example would suffice.

    However, you need to check in a similar way each of the triplets given in the question.

    You will notice that there is one of the four triplets is not Pythagorean.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math- Geometry Proofs

    What are some ways to prove that a triange is isoscles?
  2. isosceles triangle

    An isosceles triangle is a triangle that has two equal sides. Find AB, BC and AC. Determine if the triangle is isoseles or not based on the lengths of the three sides. can someone show me how to solve?
  3. math

    Describe what happens to the three points of concurrency that determine the Euler line when the triangle is (a) isosceles, (b) equilateral.
  4. GEOMETRY ONE QUESTION PLEASE HELP!!!!!

    Where is the circumcenter of any given triangle?
  5. Geometry Triangle Coordinate Plane Question

    What kind of triangle is made by connecting the points A(0, –6), B(3,–6), and C(3, –2)?
  6. Math

    Again i wrote the question wrong. 4. Classify the triangle with angles measuring 69º, 42º, and 69º. A. right B. equilateral C. isosceles acute D. isosceles obtuse You said isosceles but i didn't know whether it was C or D. Here's …
  7. Math

    Brilli the ant has a block of cheese that is in the shape of an equilateral triangle. She is hosting a party, and has invited her two-legged house mates. She insists that all of her guests get a piece of cheese that is in the shape …
  8. Geometry

    Can anybody help me with this word problem?
  9. Math

    Can someone please check to see if I answered these true and false statements correctly?
  10. Math

    1. Where is the incenter of any given triangle?

More Similar Questions