Question

Pythagorean theorem with a unknown leg

Answer 1

c^2= 64+36
c^2= 100
C= sqrt(100) or 10

Hope this is helpful

Answer 2

`√(100)`, which equals 10.

Explanation:

We already have the length of 2 legs: 6 and 8. We can say that 6 is a and 8 is b and substitute that on the expression given in the problem (the blue text). This expression is the "Pythagorean theorem".

1. Substitute the values.

`a^(2) +b^(2) =c^(2) \\\\(6)^(2) +(8)^(2) =c^(2)`

2. Reorganize (it's just for aesthetics).

`c^(2)=(6)^(2) +(8)^(2)`

3. Calculate and simplify.

`c^(2)=36 +64\\\\c^(2)=100\\\\\sqrt{c^(2)} =√(100)`

See that taking the square root of a square number is basically keeping the number neutral, therefore, you can just type c alone.

`c=√(100)\\\\c=10`

Therefore, the length of side c is
`√(100)` which equals 10.