Roboguru

Diketahui belah ketupat PQRS dengan besar dan panjang . Hitung keliling PQRS.

Diketahui belah ketupat PQRS dengan besar begin mathsize 14px style angle T P S equals 30 to the power of o end style dan panjang begin mathsize 14px style P T equals 24 cm end style. Hitung keliling PQRS.

Jawaban:

begin mathsize 14px style tan 30 to the power of straight o equals TS over TP 1 third square root of 3 equals TS over 24 space space space space space TS equals 8 square root of 3 cm end style 

begin mathsize 14px style PS equals square root of PT squared plus TS squared end root space space space space space space equals square root of 24 squared plus open parentheses 8 square root of 3 close parentheses squared end root space space space space space space equals square root of 576 plus 192 end root space space space space space space equals square root of 768 space space space space space space equals 16 square root of 3 cm end style 

begin mathsize 14px style Keliling equals 4 space. space PS space space space space space space space space space space space equals 4 space. space 16 square root of 3 space space space space space space space space space space space equals 64 square root of 3 cm end style 

Jadi, keliling PQRS adalah begin mathsize 14px style 64 square root of 3 cm end style.

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