|
Question 1195477: Determine if the points (3,5), (3,3) and (2,4) are the vertices of a right triangle. Explain your rationale.
Found 2 solutions by math_helper, Alan3354:
Answer by math_helper(2461)   (Show Source):
You can put this solution on YOUR website!
Yes, they are.
Square of the distance between first two points:
Sum of squares of distances between 1st & 3rd and 2nd & 3rd points:
So the triangle is a right triangle (with the right angle at (2,4))
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! Determine if the points A(3,5), B(3,3) and C(2,4) are the vertices of a right triangle. Explain your rationale.
-------------
Find the 3 side lengths
AB: d = 2
-----
BC: d = sqrt(2)
---
AC: d = sqrt(2)
------
AB is the longest
----
Is AB^2 = BC^2 + AC^2 ??
2^2 = 2 + 2
4 = 4
It's a right triangle.
|
|
|
| |
