Question

The value of b is:

12.5
9.5
6.5
None of these choices are correct.

Answer 1

b ≈ 9.5

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 , tat is

AC² + BC² = AB²

b² + 3² = 10²

b² + 9 = 100 ( subtract 9 from both sides )

b² = 91 ( take square root of both sides )

b =
`√(91)` ≈ 9.5 ( to 1 decimal place )