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Airida [17]
3 years ago
5

Simplify start-fraction 2 over start root 5 end root end-fraction

Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

Hope this helps

Step-by-step explanation:

Please give brainliest

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If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the large right triangl
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the picture in the attached figure

we know that

if ABC is an isosceles triangle

then

AB=BC

angle A=angle C=45 degrees

and

triangle ABD and triangle BDC also are isosceles triangles

AD=BD=x

DC=BD=x

the hypotenuse AC is equal to

AC=AD+DC\\ AC=x+x\\ AC=2x

To find the length AB applying the Pythagorean Theorem

AC^{2} =AB^{2} +BC^{2}

remember that AB=BC

AC^{2} =2AB^{2}

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therefore

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the length of one leg of the large right triangle in terms of x is equal to x\sqrt{2}

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4 years ago
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