Find the coordinates of the vertices of `a` square inscribed in the triangle with vertices `A(0,0),B(3,0)a n dC(2,1);` given that two of its vertices are on the side `A Bdot`

Explanation

Let co-ordinates of P are `(x_1​,0) `and side of square is 'a'
so `Q(x_1​+a,0),S(x_1​,a)
R(x_1​+a,a)`

Now,
`m_AS​=m_AC`(slope are equal)

⇒`​a/(x_1)​=1/2​⇒x_1​=2a `......(1)

`m_BR​=m_BC`
​
⇒`a/(x_1​+a−3)​=−1⇒x_1​+2a−3=0 ......(2)`

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