Question

Can someone please help me

Answer 1

x = 5.83.

Explanation:

The diameter bisects the vertical chord so the right triangle has legs 3 and 5.

So x^2 = 3^2 + 5^2

x^2 = 34

x = 5.83.

That is odd - if we work it out another way we get a different answer. I guess that must be because the numbers given in the diagram are not possible.

If we use the intersecting chords theorem, we get (3+6)*3 = 27

= 5 * y where y is the other leg of the right triangle giving y = 5.4

and then this will give x = 6.18.

Answer 2

5.83 or E

Explanation:

Use Pythagorean theorem. 5^2+3^2=c^2 because the diameter is perpendicular it cuts the chord in half.

25+9=c^2

34=c^2

5.83