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iren [92.7K]
3 years ago
11

A triangle has vertices T(-2,4), E(6,2), and D(1,-1). Is ATED a right triangle?

Mathematics
1 answer:
inessss [21]3 years ago
6 0

Answer:

  • B. Yes, because ED is perpendicular to DT which makes a right angle.

Step-by-step explanation:

Plot the given points and connect in pairs to get a triangle.

Visually we can say it is a right triangle as legs TD and ED seem perpendicular.

Let's confirm this by finding the slopes.

<u>Slope of TD:</u>

  • m = (-1 - 4)/(1 -(-2)) = -5/3

<u>Slope of ED:</u>

  • (-1 - 2)/ (1 - 6) = -3/-5 = 3/5

<u>Product of the slopes is:</u>

  • -5/3*3/5 = -1

This confirms DT⊥ED

Correct choice is B

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