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Geometry math question no Guessing and Please show work thank you

Geometry math question no Guessing and Please show work thank you-example-1
User Buras
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1 Answer

5 votes

AD is perpendicular to BC, therefore from the slope m₁ of BC and the slope m₂ of AD we have equation:


m_1m_2=-1 (*)

The formula of a slope:


m=(y_2-y_1)/(x_2-x_1)

We have


B(7,\ -2)\to x_1=7,\ y_1=-2\\C(3,\ 8)\to x_2=3,\ y_2=8

Substitute:


m_1=(8-(-2))/(3-7)=(10)/(-4)=-(5)/(2)

Substitute to the equation (*):


-(5)/(2)m_2=-1\ \ \ |\cdot\left(-(2)/(5)\right)\\\\m_2=(2)/(5)

Answer: D. 2/5

User Paul Lynch
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