Question

Find the length of the segment indicated.

Answer 1

Answer:  The length of the indicated segment is 14.45 units.

Step-by-step explanation:  We are given to find the length of the indicated segment.

From the figure, we note that

A chord is bisected by the radius of the circle that makes a right-angled triangle with hypotenuse measuring 16.1 units and the other two sides measures x units and 7.1 units.

Using Pythagoras theorem, we get

$x^2+7.1^2=16.1^2\\\\\Rightarrow x^2+50.41=259.21\\\\\Rightarrow x^2=259.21-50.41\\\\\Rightarrow x^2=208.8\\\\\Rightarrow x=\pm\sqrt{208.8}\\\\\Rightarrow x=\pm14.45.$

Since x is the length of side of a triangle, so we get

x = 14.45.

Thus, the length of the indicated segment is 14.45 units.

Answer 2

The red square means the triangle is a right triangle so you can solve for x using the Pythagorean theorem.

x = √(16.1^2 - 7.1^2)

x = √(259.21 - 50.41)

x = √208.8

x = 14.4499

Rounded to the nearest tenth x = 14.4