Question

I really don't understand math

Answer 1

b = 6 mm

Explanation:

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

`a^2+b^2=c^2`

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.

`8^2+b^2=10^2`

`64+b^2=100`

Subtract 64 from both sides.

`b^2=36`

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.

`√(36)=6`

b = 6

Answer 2

b = 6 mm

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 =
`√(36)` = 6