Pertanyaan

A triangle ABC has sided a , b , and c . For than triangle the following statements are given: ( i ) if b 2 = a 2 − c 2 , then ∠ B = 9 0 ∘ ( ii ) if c 2 = a 2 + b 2 , then ∠ C = 9 0 ∘ ( iii ) if a 2 = b 2 − c 2 , then ∠ B = 9 0 ∘ ( iv ) if b 2 = a 2 + c 2 , then ∠ A = 9 0 ∘ Among the above statements, those which are true are ....

A triangle $ABC$ has sided $a, b,$ and $c$ . For than triangle the following statements are given:

$(i) if b^{2} = a^{2} - c^{2}, then ∠ B = 9 0^{\circ} (ii) if c^{2} = a^{2} + b^{2}, then ∠ C = 9 0^{\circ} (iii) if a^{2} = b^{2} - c^{2}, then ∠ B = 9 0^{\circ} (iv) if b^{2} = a^{2} + c^{2}, then ∠ A = 9 0^{\circ}$

Among the above statements, those which are true are ....

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Perhatikan Teorema Pythagoras yang memenuhi adalah Teorema Pythagoras yang memenuhi adalah Teorema Pythagoras yang memenuhi adalah Jadi, jawaban yang tepat adalah C.

Perhatikan

Teorema Pythagoras yang memenuhi adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a squared end cell equals cell b squared minus c squared end cell row cell c squared end cell equals cell b squared minus a squared end cell row cell b squared end cell equals cell a squared plus c squared end cell row blank blank blank end table end style

Teorema Pythagoras yang memenuhi adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a squared end cell equals cell c squared minus b squared end cell row cell c squared end cell equals cell a squared plus b squared end cell row cell b squared end cell equals cell c squared minus a squared end cell row blank blank blank end table end style

Teorema Pythagoras yang memenuhi adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a squared end cell equals cell b squared plus c squared end cell row cell c squared end cell equals cell a squared minus b squared end cell row cell b squared end cell equals cell a squared minus c squared end cell row blank blank blank end table end style

Jadi, jawaban yang tepat adalah C.