Question

If d (P,R) = 7

d (P,Q) = 12

d (Q,R) = 5

Then the point ____ is between the other two.

P

Q

R​

Answer 1

$\underline\blue{\bold{Given \: Question :- }}$

If d (P,R) = 7, d (P,Q) = 12, d (Q,R) = 5

Then the point ____ is between the other two.

P or Q or R.

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$\huge \orange{AηsωeR} ✍$

$\large{\boxed{\boxed{\bf{Given \: that}}}}$

• d (P,R) = 7
• d (P,Q) = 12
• d (Q,R) = 5

$\large{\boxed{\boxed{\bf{To \: find}}}}$

• The point ____ is between the other two. P or Q or R.

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$\large{\boxed{\boxed{\bf{Solution}}}}$

$\begin{gathered}\bf\red{According \: to \: statement}\end{gathered}$

$\sf \: d(P, R) = 7;  \: d(P, Q) = 12; \: d(Q, R) = 5$

$\sf \: ⟼Now, d(P, R) + d(Q, R) = 7 + 5$

$\sf \: ⟼Or,  \: d(P, R) + d(R, Q) = 12$

$\sf \: ⟼∴ d(P, Q) = d(P, R) + d(Q, R)$

$\sf \: ⟼Hence, the \: points \: P, R and \: Q \: are \: collinear.$

$\large{\boxed{\boxed{\bf{The \: point \: R \: is \: between \: P \: and \: Q}}}}$

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Answer 2

Step-by-step explanation:

Refer to this attachment