Question

the length of a line segment pq is 22cm. point R divides the line segment in the ratio 5: 6 what is the length of PR?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer :-

PR = 10 cm

Step-by-step explanation :-

Diagram:

  _________________.______________

P              5x                    R           6x              Q

Given:

• Total length of PQ = 22 cm
• Point R divides the line segment in the ratio 5:6

So, PR = 5x and QR = 6x

To find:

Length of PR = ?

Solution:

Since it is given that the total length of the line segment is 22 cm, the sum of their respective ratios would also be equal to 22 cm.

So,

   5x + 6x = 22 cm

⇒ 11x = 22 cm

⇒ x = 22 ÷ 11

⇒ x = 2 cm

In the question we are asked to find the length of PR.

From the figure, it is clear that PR = 5x.

Now that we have found out the value of x,

  PR = 5 × 2

→ PR = 10 cm

∴ The length of PR = 10 cm