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Question

Assertion: Points A(6, 4), B(-4, -6) and C(4, 6) are such that AB =200, BC= 208, AC= 8, Since AB+BC>AC, points A, B and C from a triangle.

Reason: If BC2=AB2+AC2, then ΔABC is a right triangle, right angled at A.





A
If both assertion and reason are true and reason is te correct explanation of assertion
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B
If both assertion and reason are true but reason is not the correct explanation of assertion.
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C
If assertion is true but reason is false.
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D
If assertion is false but reason is true.
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Solution

The correct option is B If both assertion and reason are true but reason is not the correct explanation of assertion.


Sum of the two sides is greater than third side
AB+BC>AC and AB+AC>BC
ABC is a triangle
Also BC2=AB2+AC2
(208)2=(200)2+82208=200+8208=208
ABC is right angled triangle
Assertion: True; Reason: True but is not the correct explanation of assertion

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