Maths-

General

Easy

Question

# The first and the last bird are sitting 40 cm apart. Find the distance between the third and the fourth bird using the segment addition postulate.

Hint:

### Add the distance between birds to get distance

## The correct answer is: 4 cm.

### Step-by-step explanation:

- Given:

Distance between 1^{st} bird and 2^{nd} bird = 15 cm.

Distance between 2^{nd} bird and 3^{rd} bird = 17 cm.

Distance between 4^{th} bird and last bird = 12 cm.

Distance between 1^{st} bird and last bird = 40 cm.

- Step 1:
- Let the distance between 3
^{rd} and 4^{th} bird be X cm.

As we know, the three bird are between 1^{st} and last bird.

So,

Distance between 1^{st} and last bird =

Distance between 1^{st} bird and 2^{nd} bird + Distance between 2^{nd} bird and 3^{rd} bird + Distance between 3^{rd} bird and 4^{th} bird + Distance between 4^{th} bird and last bird

∴ Distance between 1^{st} and last bird = 15 + 17 + X + 12

40 = 15 + 17 + X + 12

40 = 44 + X

X = 44 – 40

X = 4 cm

Hence, Distance between 3^{rd} and 4^{th} bird is 4 cm.

- Given:

- Step 1:
- Let the distance between 3
^{rd}and 4^{th}bird be X cm.

Hence, Distance between 3

^{rd}and 4

^{th}bird is 4 cm.

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