Question

7. Point C is on segment AB. If AB= 24 cm, CB= 11 cm. Find the length of AC?

Answer 1

R.E.F image

In Δ ABC, B is at right angle.

Given, AB=24cm

BC=7cm

using Pythagoras theorem

AB

2

+BC

2

=AC

2

⇒(24)

2

+(7)

2

=AC

2

⇒AC=

(24

2

)+(7)

2

​

=

576+49

​

=

625

​

⇒AC=25CM

(i)sin A=

AC

BC

​

=

25

7

​

cos A=

AC

AB

​

=

25

24

​

(ii)sin C=

AC

AB

​

=

25

24

​

cos c=

AC

BC

​

=

25

7

​

   

Объяснение:

Answer 2

To find the length of AC, you can use the segment addition postulate, which states that for any three points A, B, and C on a line, if point B is between points A and C, then:

AB + BC = AC

In your problem, you're given that AB = 24 cm and CB = 11 cm. You want to find the length of AC, so you'll use the segment addition postulate:

AC = AB + CB

AC = 24 cm + 11 cm

AC = 35 cm

So, the length of AC is 35 cm.