In the standard (x, y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates units of the hypotenuse of this triangle

Given:

The vertices of a right triangle are:

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are .

The distance formula is:

Using distance formula, we get

Similarly,

And,

Now, taking sum of squares of two smaller sides, we get

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

step-by-step explanation:

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.