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3 years ago

2 square root of 8 multiplied by the square root of 20

Mathematics

2 answers:

Len [333]3 years ago

7 0

It is 25.2982212813 hope you have a good day

dybincka [34]3 years ago

6 0

Step-by-step explanation:

$2 \sqrt{8} \times \sqrt{20} \\ \\ = 2 \sqrt{4 \times 2} \times \sqrt{4 \times 5} \\ \\ = 2 \times 2 \sqrt{2} \times 2 \sqrt{5} \\ \\ = 8 \sqrt{2 \times 5} \\ \\ = 8\sqrt{10}$

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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 $4 \sqrt{5}$ .

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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

Leg rule of geometric mean theorem:

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

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

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

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

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3 years ago