Question

If a line segment 150 cm long is divided into three segment in the ratio 1:2:3 the lenght of the longest segment is

Answer 1

Answer:

Thus longest line segment measures 75 cm.

Step-by-step explanation:

Let the length of shortest line segment be x.

Thus, the ratio becomes x: 2x: 3x

Given, $x+2x+3x=150$

$6x=150$

Longest line segment measures 3x,

i.e $3x=\frac{150}{2}=75$

Thus longest line segment measures 75 cm.

Answer 2

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

Given: The length of line segment is $150$cm

Find: The length of the longest segment

According to the question

Let the ratio be $x$

So the three segment are

$x, 2x, 3x$

The sum of three segment is

$x+2x+3x=150$

$6x=150$

$x=25$

Length of the longes segment is $3x$

$=3\times 25$

$=75cm$