Question

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse.

If a = 3 meters and b = 6 meters, what is c? If necessary, round to the nearest tenth.

Answer 1

The length of the hypotenuse of a right triangle can be calculated using the Pythagorean theorem: c^2 = a^2 + b^2.

Given that a = 3 meters and b = 6 meters, we can substitute those values into the equation:

c^2 = 3^2 + 6^2

c^2 = 9 + 36

c^2 = 45

c = sqrt(45)

c = 6.7 meters

Rounding to the nearest tenth, c = 6.7 meters becomes c = 6.7 meters.

Answer 2

Here's how I will do it:

1. Recite the Pythagorean theorem, which is
`a^(2) +b^(2) =c^(2)`

2. Substitute the variables of a and b, so the equation will look like this
`3^(2) +6^(2) =c^(2)` now.

3. Simplify the equation which gives you,
`9+36=c^(2)`. Simplifying more would give you
`45=c^(2)`.

4. Solve for the c value :

`c=√(45)`
Plug this into a calculator and it will give you 6.70820....
Rounding to the nearest tenth will give you, about 6.7.