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3 years ago

7

PLEASE HELP FAST QUESTION IN PHOTO WILL PICK IF CORRECT

1 answer:

Elenna [48]3 years ago

5 0

4 2/11 = 4.1818181

sqrt5 = 2.2360679......

3/16 = 0.1875

answer:
3/16 terminates ( it only has 4 numbers)

4 2/11 don't terminate but keeps repeating

sqrt5 doesn't terminate or repeat

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mafiozo [28]

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trapecia [35]

Answer:

Area $=62.5\sqrt{6}$ square units

$AB=5\sqrt{15}$ units

$BC=5\sqrt{10}$ units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

$BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units$

a. The area of the triangle ABC is

$A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.$

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

$AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units$

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Step-by-step explanation:

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