Wednesday

July 23, 2014

July 23, 2014

Posted by **Rayna** on Saturday, August 21, 2010 at 5:57am.

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 -
**MathMate**, Saturday, August 21, 2010 at 7:20am1. 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

5²

=25

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

- MTH 157 -
**Rayna**, Saturday, August 21, 2010 at 9:12pmThank you for the help. When you gave the example of question 2 is that I need to put for explaining my answer?

- MTH 157 -
**MathMate**, Sunday, August 22, 2010 at 7:30amYes, 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.

**Related Questions**

math - Describe what happens to the three points of concurrency that determine ...

isosceles triangle - An isosceles triangle is a triangle that has two equal ...

GEOMETRY ONE QUESTION PLEASE HELP!!!!! - Where is the circumcenter of any given ...

Geometry- - Which point(s) of concurrency in a triangle is (are)never outside ...

Math- Geometry Proofs - What are some ways to prove that a triange is isoscles? ...

Geometry - Given tri ABC where A(4,-6) B, (-8,2) C (-4,8) A. Write the equation ...

Algebra - Write a system of inequalities to express the exterior of the triangle...

college algebra - an isosceles triangle has at least two sides of equal length. ...

Vector - The points U(4,-1,2), V(-1,-1,-1) and W(-4,2,4) dermine a triangle in R...

Higher Maths - Show that these three points , P(-8,3), Q(-3,4),R(-6,-7), Form a ...