Question

A triangle has vertices on a coordinate grid at P(-10,1)P(−10,1), Q(-10,-7)Q(−10,−7), and R(-5,-7).R(−5,−7). What is the length, in units, of \overline{PQ}

PQ

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?

Answer 1

Explanation:

Given the following coordinates of a triangle

P(-10,1)

Q(-10,-7)

R(-5,-7)

Required

Length of PQ

PQ = √(y2-y1)²+(x2-x1)²

From the coordinate;

x1 = -10, y1 = 1, x2 = -10 y2 = -7

Substitute

PQ = √(-7-1)²+(-10-(-10))²

PQ = √(-8)²+0²

PQ = √64

PQ = 8units

Hence the length of PQ in units is 8units