L2.8.2 test (cst): triangles in the figure, pq is parallel to rs. the length of rp is 5 cm; the length of pt is 30 cm; the length of q7 is 60 cm. what is the length of so? o a. 20 cm 0 0 o b. 6 cm o c. 10 cm od. 2 cm 0 previous

10 cm

Step-by-step explanation:

Data

PT = 30 cm

RP = 5 cm

RT = RP + PT = 35 cm

TQ = 60 cm

See figure attached

It is obvious that angles and are equal in both triangles. This means that the relationship PT/PQ = RT/RS and TQ/PQ = TS/RS must be fulfilled. Replacing with data (units are omitted)

30/PQ = 35/RS

30/35 = PQ/RS

PQ/RS = 0.857

60/PQ = (60 + QS)/RS

60/(60 + QS) = PQ/RS

60/(60 + QS) = 0.857

60 = 0.857*(60 + QS)

60 - 0.857*60 = 0.857*QS

QS = (60 - 0.857*60)/0.857

QS = 10

b

step-by-step explanation:

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step-by-step explanation:

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