Do not points P(3, 2), Q(−2, −3) and R(2, 3) form a triangle? If so, name the type of triangle formed.
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Answer:
it's will form right angle traingle
bro the way of phythogran therom
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Coordinates of a triangle
Explanation:
Given: Coordinates of 3 points P(3, 2), Q(−2, −3) and R(2, 3)
To find: PQR is a triangle.
Let's find distance between the points.
PQ = √[(-2-3)² + (-3-2)²] = √50 = 7.07
QR = √[(2-(-2)² + (3-(-3)²] = √52 = 7.21
PR = √[(3-2)² + (2-3)²] = √2 = 1.14
Since sum of any two of the distances is greater than the third, PQR forms a triangle.
Also, we find that PQ² + PR² = (√50)² + (√2)² = 52 = QR²
So PQR is a right-angled triangle.
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