Question

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

Answer 1

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

Answer 2

Answer:

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