Question

1) Verify that points P(-2.2). Q(2.2)
and R(2.7) are the vertices of a right
angled triangle.​

Answer 1

Answer:

Yes.

Step-by-step explanation:

Let, (-2,2) = A,

(2,2) = B,

(2,7) = C.

Now, AB = √[(-2-2)² + (2-2)²] = √[(-4)² + 0²] = √16 = 4 units

BC = √[(2-2)² + (2-7)²] = √[0² + (-5)²] = √25 = 5 units

CA = √[(2+2)² + (7-2)²] = √[4² + (-5)²] = √[16+25] = √41 units

Now, we can see that, 16 + 25 = 41 => 4² + 5² = (√41)² => AB² + BC² = CA²

So, the points, which are mentioned in the question, are the vertices of a right angle triangle.

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