Respuesta :

Answer:

b = 6 mm

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 8² = 10²

b² + 64 = 100 ( subtract 64 from both sides )

b² = 36 ( take the square root of both sides )

b = [tex]\sqrt{36}[/tex] = 6

b = 6 mm

Step-by-step explanation:

To find the missing side of a right triangle, we can use the Pythagorean theorem. This is...

[tex]a^2+b^2=c^2[/tex]

It is important to know that c will always be the hypotenuse, or in this case 10. We can plug everything we know from the picture into the theorem.

[tex]8^2+b^2=10^2[/tex]

[tex]64+b^2=100[/tex]

Subtract 64 from both sides.

[tex]b^2=36[/tex]

A lot of people make the mistake of thinking the final answer is 36, but since b is squared we need to find the square root of 36.

[tex]\sqrt{36}=6[/tex]

b = 6

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