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What is the lengh of QR in the given figure?​

What is the lengh of QR in the given figure?​-example-1

1 Answer

5 votes

Answer:

5 units.

Explanation:

See the given diagram of the triangle.

Here, WR = RT and WQ = QX

Therefore, R is the midpoint of WV and Q is the midpoint of WX.

Now, we know that if we join the midpoints of two sides of a triangle then the line formed will be parallel to the third side and will be half of the third side.

Hence, 2× QR = XV

⇒ 2(2x - 7) = - 2 + 2x

⇒ 4x - 14 = - 2 + 2x

⇒ 2x = 12

x = 6

Therefore, QR = 2x - 7 = 12 - 7 = 5 units. (Answer)

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