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Please help if possible..

The coordinates of the vertices of the triangle shown are P(2, 13), Q(17, 1) and R(2, 1). What is the length of segment PQ in units?

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Please help if possibleThe coordinates of the vertices of the triangle shown are P2 13 Q17 1 and R2 1 What is the length of segment PQ in units class=

Respuesta :

Hrishii

Step-by-step explanation:

[tex] P(2, 13)= (x_1, y_1) \:\&\: Q(17, 1)=(x_2, y_2) [/tex]

length of segment PQ

[tex] = \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2} } \\ = \sqrt{ {(2 - 17 )}^{2} + {(13 - 1)}^{2} } \\ = \sqrt{ {( - 15 )}^{2} + {(12)}^{2} } \\ = \sqrt{225 + 144} \\ = \sqrt{369} \\ = 19.2093727 \\ \approx \: 19.21 \: units[/tex]

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