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Find the value of x then tell whether the side lengths form a Pythagorean triple 6 , 10 , x

Find the value of x then tell whether the side lengths form a Pythagorean triple 6 , 10 , x-example-1

2 Answers

4 votes

Answer:

Step-by-step explanation:

a^2+b^2=c^2

6^2+10^2=x^2

36+100=x^2

136=x^2


\sqrt{136 =x

2
\sqrt{34 =x

User Lancerex
by
3.2k points
3 votes

Answer:

Step-by-step explanation:

Use the Pythagorean theorem (

a

2

+

b

2

=

c

2

)

Lets label the right triangle such that:

a

=

12

b

=

16

c

=

x

Thus,

12

2

+

16

2

=

x

2

144

+

256

=

x

2

400

=

x

2

400

=

x

20

=

x

So our missing side,

c

is

20

We can now say that the sides of our triangle are

12

,

16

,

20

I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).

Step-by-step explanation:

Hope it helpful

User InOut
by
3.0k points