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Fudgin [204]
3 years ago
5

Randy wants to draw isosceles right triangles on a coordinate plane that have two vertices at (-1,6) and (-1,-2). If the coordin

ates of the third vertex are both integers, how many different isosceles right triangles can she draw?
Mathematics
1 answer:
Travka [436]3 years ago
7 0

Answer:

Two isosceles right triangles. p_{3} = (-9,-2) and p_{3'} = (7,-2)

Step-by-step explanation:

The length of one side is:

l_{1} = \sqrt{[-1 - (-1)]^{2}+[6 - (-2)]^{2}}

l_{1} = 8

An isosceles right has two sides of identical length, which are both legs and perpendicular to each other. There are two possibilities:

p_{3} = (-1 - 8, -2)

p_{3} = (-9,-2)

p_{3'} = (-1 + 8, -2)

p_{3'} = (7,-2)

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