Question

In the right triangle, if a = 3 and b = 6, what is the value of c?

a 3 times the square root of 5
b 9
c 9 times the square root of 5
d 45

Answer 1

A I had took the quiz

Answer 2

A

Explanation:

Using the pythagorean theorem,
`a^(2) +b^(2) =c^(2)`

we plug the numbers in;
`3^(2) + 6^(2) =c^(2)`

9+36=c^2

45=c^2

sqr root of 45 is
`√(45)`

next find the positive perfect sqr root of 45 which will be 9.

9 goes into 45 5 times so it will be
`√(9x5)`

Sqr root of 9 is 3 so it will be
`3 √(5)`