Question

Please help me with this

Answer 1

x = 4.4 in

Explanation:

The segment from the centre of the circle to the chord is a perpendicular bisector, hence

7.4 ÷ 2 = 3.7

Consider the right triangle with legs 3.7 and 2.4 and hypotenuse x

Using Pythagoras' identity in the right triangle, then

x² = 2.4² + 3.7² = 5.76 + 13.69 = 19.45

Take the square root of both sides

x =
`√(19.45)` ≈ 4.4 in

Answer 2

4.4 in

Explanation:

If a radius is perpendicular to a chord, it bisects that chord. You can use Pythagorean theorem here

`{3.7}^(2) + {2.4}^(2) = {x}^(2)`

Once solved you'll find x to be roughly 4.4 in