Question

Given that AB=12 cm
From the above figure measure the lengths of the following line segments
(a) CD
d D
in
Verify AE - CE = AC?​

Answer 1

Step-by-step explanation:

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Given that ab=12cm from the above figures measure the length of the following line segments. ​

The required diagram is attached below.

• Given ,

AB = 12 cm

• From figure it's clear that, C is the mid point of line AB.

BC = 12 -2 = 10 cm.

• Therefore, we have

AC = AB + BC = 12 + 10 = 22 cm.

AC = CE = 22 cm.

DE = $\huge\bf{\frac{1}{2}}$  × CD

CE = CD + DE

22 = CD +  × CD

22 =  $\huge\bf{\frac{3}{2}}$ × CD

CD = 22 × $\huge\bf{\frac{2}{3} }$

CD = 14.67 cm

DE = 1/2 × CD = $\huge\bf{\frac{1}{2} }$ × 14.67 = 7.33 cm

• Therefore, the lenghts of the segments are :

AB = 12 cm

BC = 10 cm

CD = 14.67 cm

DE = 7.33 cm

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