Question

Find the value of x, rounded to the nearest tenth.
Answer options: 3.8, 4, 2.7, 2.9

Answer 1

Answer:

4

Step-by-step explanation:

If two chords intersect externally, then the product of the length of the chord and the length of the part outside the circle is a constant.

Thus from the figure,

we can deduce that:

8×3=6×x

collecting the like terms together we get:

24=6x

x=4

Answer 2

Answer:

x =4

Step-by-step explanation:

Refer the attached figure:

We will use Intersecting secants theorem

Theorem : When two secant lines intersect each other outside a circle, the products of their segments are equal. i.e. $a\times b = c \times d$(refer the attached figure)

So, using this theorem

$x \times 6 = 3 \times 8$

$x = \frac{24}{6}$

$x = 4$

Hence the value of x is 4.