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let RT = TS = SQ =x
PT² = TQ² + PQ²
PT² = 4x² + PQ²
PR² = 9x² + PQ²
PS² = x² + PQ²
solving x² and PQ²
PR² - PS² = 8(PT²-PS²)/3
⇒ 8PT² = 3PR² + 5PS²
PT² = TQ² + PQ²
PT² = 4x² + PQ²
PR² = 9x² + PQ²
PS² = x² + PQ²
solving x² and PQ²
PR² - PS² = 8(PT²-PS²)/3
⇒ 8PT² = 3PR² + 5PS²
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