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Deepak Bora
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Show that the points (7, 10), (-2, 5) and (3, -4) are vertices of an isosceles right triangle

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CBSE 10th Class Mathematics
Past year question paper
Year 2020
SET 1, Code Number  – 30/5/1
Question Number –  29 [b]
graphical problem
vertices of an isosceles right triangle

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1 Answer

  1. Let A (7, 10) B(-2, 5) C(3, -4) be the vertices of triangle.

    Distance between two points =√ [ (x2-x1)² – (y2-y1)² ]

    AB = √[9² + 5²] = √106
    BC = √[5² + 9²] = √106
    CA =√[4² + 14²] = √ 212
    (by Pythagoras theorem)
    AB² + BC² = AC²
    √106²  + √106²  =√212²
    106 + 106 = 212
    ∴ ABC is an isosceles right angled Δ.

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