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3 years ago

13

You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side

to construct a valid triangle?
8 centimeters
6 centimeters
4 centimeters
10 centimeters
2 centimeters

2 answers:

Sphinxa [80]3 years ago

7 0

Yes it is <span>8 centimeters.</span>

Anestetic [448]3 years ago

3 0

<span>8 centimeters. hope this helps</span>

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andriy [413]

Answer:

$a=125^o\\b=55^o\\c=55^o\\d=55^o\\e=125^o\\f=55^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$(2x+25)^o=(x+75)^o$ ----> by alternate interior angles

solve for x

Group terms

$2x-x=75-25\\x=50$

step 2

Find the measure of angle a

we know that

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substitute the value of x

$a=(50+75)=125^o$

step 3

Find the measure of angle b

we know that

$a+b=180^o$ ----> by supplementary angles (form a linear pair)

we have

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substitute

$125^o+b=180^o\\b=180^o-125^o=55^o$

step 4

Find the measure of angle c

we know that

c=b ----> by vertical angles

we have

$b=55^o$

therefore

$c=55^o$

step 5

Find the measure of angle d

we know that

d=b ----> by corresponding angles

we have

$b=55^o$

therefore

$d=55^o$

step 6

Find the measure of angle e

we know that

e=a ----> by alternate exterior angles

we have

$a=125^o$

therefore

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step 7

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we know that

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we have

$d=55^o$

therefore

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