Answer the following questions. i. If A – B – C and d(A, C) = 17,

1.	Answer the following questions. i. If A – B – C and d(A, C) = 17, d(B, C) = 6.5, then d (A, B) = ?ii. If P – Q – R and d(P, Q) = 3.4, d(Q, R) = 5.7, then d(P, R) = ?
Answer» i. Given, (A, C) = 17, d(B, C) = 6.5 d(A, C) = d(A, B) + d(B, C) …[A – B – C] ∴ 17 = d(A, B) + 6.5 ∴ d(A,B)= 17 – 6.5 ∴ d(A, B) = 10.5 ii. Given, d(P, Q) = 3.4, d(Q, R) = 5.7 d(P,R) = d(P,Q) + d(Q,R) …[P – Q – R] = 34 + 5.7 ∴ d(P, R) = 9.1

Answer the following questions. i. If A – B – C and d(A, C) = 17, d(B, C) = 6.5, then d (A, B) = ?ii. If P – Q – R and d(P, Q) = 3.4, d(Q, R) = 5.7, then d(P, R) = ?

Answer»

i. Given, (A, C) = 17, d(B, C) = 6.5

d(A, C) = d(A, B) + d(B, C) …[A – B – C]

∴ 17 = d(A, B) + 6.5

∴ d(A,B)= 17 – 6.5

∴ d(A, B) = 10.5

ii. Given, d(P, Q) = 3.4, d(Q, R) = 5.7

d(P,R) = d(P,Q) + d(Q,R) …[P – Q – R]

= 34 + 5.7

∴ d(P, R) = 9.1