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What type of triangle is formed by joining the points D(7,3) E(8,1) and F(4,-1)?

User Cerno
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1 Answer

6 votes

Answer:

A right triangle

Explanation:

If you plot the triangle as in the figure below, it looks like a right triangle.

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.

What type of triangle is formed by joining the points D(7,3) E(8,1) and F(4,-1)?-example-1
User Tal Mantelmakher
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4.2k points