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Vika [28.1K]
3 years ago
11

What is the length of CD in this diagram, ABC - EDC,

Mathematics
2 answers:
natima [27]3 years ago
8 0

Answer:

<h2>4</h2>

Option A is the right option.

solution,

∆ABC~∆EDC

\frac{bc}{cd}  =  \frac{ac}{ec}  \\  \:

putting the values,

\frac{20 - x}{x}  =  \frac{20}{5}  \\  or \: 5(20 - x) = 20x(cross \: multiplication) \\ or \: 100 - 5x = 20x \\ or \:  - 5x - 20x =  - 100 \\ or \:  \:  - 25x =  - 100 \\  \: or \: x =  \frac{ - 100}{ - 25}  \\ x = 4

Hope this helps..

Good luck on your assignment..

Verdich [7]3 years ago
7 0

Answer:

it's 4. I just did this on Apex and the answer was 4

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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Nitella [24]

The trigonometric ratios show that the angle FHE is 48.59°.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: (hypothenuse)^2=(leg_1)^2+(leg_2)^2. And the main trigonometric ratios are:

sin(\alpha) =\frac{opposite \;leg }{hypotenuse} \\ \\ cos(\alpha) =\frac{adjacent\;leg }{hypotenuse} \\ \\ tan(\alpha) =\frac{sin(\alpha )}{cos(\alpha )}= \frac{opposite \;leg }{adjacent\;leg } \\ \\

It is important to remember that the sum of internal angles for any triangle is 180°.

From the question, it is possible to see 2 right triangles (HGF and FHE).

You can find the hypotenuse of the triangle HGF from the  trigonometric ratio: sen Θ

sin45=\frac{opposite\; leg }{hypotenuse} =\frac{\sqrt8}{hypotenuse}\\ \\ \frac{\sqrt{2} }{2} =\frac{\sqrt{8} }{hypotenuse} \\ \\ \sqrt{2}*hypotenuse=2\sqrt{8} \\ \\ hypotenuse=\frac{2\sqrt{8} }{\sqrt{2}} =2\sqrt{4} =2*2=4

The hypotenuse of triangle HGF is one of legs for the triangle FHE. The, you can find the angle FHE from the  trigonometric ratio: tan β. Thus,

sin \beta =\frac{opposite\; leg }{adjacent\; leg} =\frac{3}{4}\\ \\ sin \beta=\frac{3}{4}=0.84806\\ \\ arcsin\beta =48.59^{\circ \:}

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

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Answer:

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Step-by-step explanation:

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