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CBSE Class 10 Answered

If two vertices of an isosceles right triangle are A(-1,-7) and B(-7,-1) then find coordinates of third vertex of the triangle ABC. [GIVEN angle C=90]
Asked by piyushpriyadarshi1027 | 13 Sep, 2020, 04:59: PM
Expert Answer
As the angle C = 90o and ABC is an isosceles triangle
Therefore, AC = BC
Take the coordinates of C as (a, b)
By taking AC = BC, we get a=b
Now, apply pythagoram theorem
AB2 = AC2 + BC2 
Obtain the value for 'a' and so get coordinates for point C.
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