What type of triangle is formed by joining the points D(7,3) E(8,1) and F(4,-1)?
1 answer:
Answer:
A right triangle
Step-by-step explanation:
If you plot the triangle as in the figure below, it looks like a <em>right triangle.</em>
It should satisfy Pythagoras' Theorem:
AB² + AC² = BC²
Each side of the triangle is the hypotenuse of a smaller right triangle.
(2² + 4²) + (2² + 1²) = (4² + 3²)
(4 + 16) + (4 + 1) = 16 + 9
20 + 5 = 25
25 = 25
The theorem is satisfied. ∆ABC is a right triangle.
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