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boyakko [2]
4 years ago
8

PLEASE ANSWER URGENTLY Given: PS = RT, PQ = ST Prove: QS = RS

Mathematics
1 answer:
bonufazy [111]4 years ago
3 0

Answer:

Step-by-step explanation:

From the diagram;

PQ+QS = PS.... 1 and

RS+ST = RT..... 2

From the qauestion we are told that PS = RT, PQ = ST

substitute this into both equationn1, it will become

ST+QS = RT.... 2

Subtract equation 3 from 2;

RS-QS +(ST-SST) = RT-RT

RS-QS+0 = 0

RS-QS = 0

add QS to both sides

RS-QS+QS = 0+QS

RS - 0 = QS

RS = QS (Proved)

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