Question

The value of c is:

7.2.
52.
104.
None of these choices are correct.

Answer 1

Answer: 7.2 (choice A)

Work Shown:

`a^2+b^2 = c^2\\\\c = √(a^2+b^2)\\\\c = √(6^2+4^2)\\\\c = √(52)\\\\c \approx 7.211103\\\\c \approx 7.2\\\\`

For more info, search out "pythagorean theorem".

Answer 2

c ≈ 7.2

Explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

AB² = AC² + BC²

c² = 4² + 6² = 16 + 36 = 52 ( take square root of both sides )

c =
`√(52)` ≈ 7.2 ( to 1 decimal place )