Question

a right triangle has legs of lengths 6 and 2, what is the length of the hypotenuse to the nearest tenth

Answer 1

6.3

Explanation:

`6^(2) + 2^(2) = x^(2)`

40 =
`x^(2)`

`√(40) = \sqrt{x^(2) }`

x = 6.3

Answer 2

6.3

Explanation:

Pythagoras' Theorem (or Pythagorean Theorem) states a²+b²=c², where c is the hypotenuse.

We can use this equation and swap a and b for 6 and 2. This gives 6²+2²=c², which can be expanded to 36+4=c², and further c²=40.

To work out c, we need to square root both sides, leaving c=6.3245553203367586639977870888654, which rounded to 1 decimal place (nearest tenth) is 6.3.

**This content involves Pythagoras' Theorem or The Pythagorean Theorem, which you may wish to revise. I'm always happy to help!