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Prove that the (3,0) (6,4) (-1,3) are vertical of a right angle isosceles right tringle? |
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Answer» Use distance formula and prove two side equal to each other This question incorrect Find their lengths...2 sides should be equal and the sum of squares of two sides should be equal to the square of 3rd side....its proved. Find the distance between coordinates by using distance formula and prove Given A(3, 0), B(6, 4) and C(–1, 3)AB^2 = (3 – 6)^2 + (0 – 4)^2= 9 + 16 = 25\xa0BC^2 = (6 + 1)^2 + (4 – 3)^2= 49 + 1 = 50\xa0CA^2 = (–1 – 3)^2 + (3 – 0)^2\xa0= 16 + 9 = 25\xa0AB^2 = CA^2 ⇒ AB = CATriangle is isoscelesAlso,\xa025 + 25 = 50\xa0⇒ AB^2 + CA^2 = BC^2\xa0Since Pythagoras theorem is verified, thereforeTriangle is a right angled triangle |
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