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3 years ago

Given that PS is a median of triangle PQR, find RQ A.6 B.12 C.19 D.38

Mathematics

1 answer:

Zinaida [17]3 years ago

5 0

The median triangle is a line segment that connects the vertex and the midpoint of the opposite side. Therefore, in the given, we can say that RS = QS

Equating RS and QS, we will find the value of X

RS = QS
5x-11 = 2x+7
5x-2x = 7+11 ⇒ combine like terms
3x = 18 ⇒ divide both sides by 3 to get the x value
x = 6

Find the value of RS and QS, in this, we will show that two are equal

5(6)-11 = 2(6)+7
19 = 19 ⇒ correct

Therefore RQ is the sum of RS and QS or simply twice the length of either segment

RQ = 19 x 2 = 19 + 19 = 38 (D)

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