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VLD [36.1K]
3 years ago
9

Find BC if B(8,-7) and C1-4,-2).

Mathematics
1 answer:
Alika [10]3 years ago
4 0

Using distance formula :

  • \sqrt{(x_2 - x_1) {}^{2}  + (y_2 - y_1) {}^{2} }

  • \sqrt{(8 - ( - 4)) {}^{2}  + ( - 7 - ( - 2)) {}^{2} }

  • \sqrt{(12) {}^{2} + ( - 5) {}^{2}  }

  • \sqrt{144 + 25}

  • \sqrt{169}

  • 13 \:  \: units
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\sin(51°)=  \frac{10}{H}  \\ h =  \frac{10}{ \sin(51°) }  \\ H=  \frac{10}{0.777}  \\  \boxed{H= 12.8676}

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