Question

The coordinates of the vertices of VPQR are P(-2,5), Q(-1,1), and R(7,3). Determine whether VPQR is a right triangle. Show your work? Need help solving

Answer 1

Right Triangle

Explanation:

Slope of PQ `m_r = (y_Q - y_P) / (x_Q - x_P) = (1-5) / (-1-(-2)) = -4`

Slope of QR `m_p = (y_R - y_Q) / (x_R - x_Q) = (3-1) / (7-(-1)) = 1/4`

Slope of RP `m_q = (y_R - y_P) / (x_R - x_P) = (3-5) / (7-5) = -1`

Since slopes PQ & PR,

`m_r = -1 / m_p`, it's a right triangle.