For triangle XYW, the slope of WX is , the slope of XY is 0.56, and the slope of YW is . Which statement verifies that triangle WXY is a right triangle?

QUESTION POSTED AT 01/06/2020 - 03:37 PM

Answered by admin AT 01/06/2020 - 03:37 PM

If lines through XY and YW form a 90° angle, so that Y is a right angle, 

then the product of the slopes of the lines through XY and YW must be -1

let the slopes through X,Y and Y,W be m_X_Y  and  m_Y_W respectively 

so 

m_X_Y*m_Y_W=-1

m_Y_W= \frac{-1}{m_X_Y}

m_Y_W= \frac{-1}{0.56}

m_Y_W= -1.786

Right answer: m_Y_W= -1.786
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