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Prove that the points (3,0),(6,4),(-1,3)are the …

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Prove that the points (3,0),(6,4),(-1,3)are the vertices of a right angled isosceles triangle

Posted by Suhail Khan 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Given A(3, 0), B(6, 4) and C(-1, 3)

AB² = (3 - 6)² + (0 - 4)² = 9 + 16 = 25
BC² = (6 + 1)² + (4 - 3)² = 49 + 1 = 50
CA² = (-1 - 3)² + (3 - 0)² = 16 + 9 = 25
AB² = CA² or, AB = CA
Triangle is isoceles
Also, 25 + 25 = 50
or, AB² + CA² = BC²
Since, pythagoras theorem is verified, therefore triangle is right-angled triangle.

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