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Line segment QR is parallel to line segment ST. x = ___ m

Line segment QR is parallel to line segment ST. x = ___ m-example-1
User Jatin Dhoot
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1 Answer

7 votes
7 votes

In order to find the value of x, consider that triangles PQR and PST are similar. Then, you have the following equivalence:

PQ/PS = PR/PT

Where:

PQ = x

PS = 45m

PR = 16m

PT = 36m

replace the previous values of the length of the segments and solve for x, just as follow:

x/45 = 16/36 multiply by 45 both sides

x = (16/36)45

x = 20

Hence, the value of x is x = 20

User Rich Tillis
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