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devlian [24]
2 years ago
6

Quiz: QZ 3.1-3.2

Mathematics
1 answer:
hram777 [196]2 years ago
4 0

Answer:

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The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

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Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

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\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

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square and square roots get canceled, we get

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The length of BC is 4 \sqrt{5}.

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3 years ago
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Step-by-step explanation:

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Which steps would you use to solve this equation? Check all that apply.
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Answer: The answers are

  1. Subtract 7 from both sides of the equation.
  2. Subtract 7 from 7.
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Step-by-step explanation:

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Then for the substituting part

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Step-by-step explanation:

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