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scZoUnD [109]
4 years ago
11

Pls help me i appreciate <3333 .

Mathematics
1 answer:
gtnhenbr [62]4 years ago
3 0

Answer:

it is 8 :)

Step-by-step explanation:

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

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>

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

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

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

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

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

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

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3 years ago
Graph the inequality. y&gt;|x+5|-3
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Answer:

Step-by-step explanation:

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The sentence "the length of a rectangle is 6 feet more than the width" can be translated as / = 6 + w.
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Answer:

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Step-by-step explanation:

if the width is w and the length is l then 6 more than the width is w+6 and that is equal to the length so l = w+6

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