Question

Susan is drawing a triangle. The first segment she draws is 6 centimeters in length, and the second segment is 8 centimeters long. The measure of the angle between those two segments is 80°. Which best describes the length of the third segment? A) equal to 14 centimeters B) less than 14 centimeters C) greater than 14 centimeters D) greater than or equal to 14 centimeters Submit

Answer 1

B) less than 14 centimeters

Explanation:

Given:

Length of 1 segment of triangle = 6 cm

Length of the 2 segment of the triangle = 8 cm

Angle between those 2 segments = 80°

We need to find the length of the 3 segment of the triangle.

Solution:

Now we know that;

By Triangle Inequality theorem which states that;

"The sum of the two side of the triangle must be greater than the third side of the triangle."

i.e The length of the third side should be lest than the sum of the other two sides.

Length of the third side
`< 8+6`

Length of the third side
`<14\ cm`

Hence The length of the third side should be less than 14 cm.