Question

3. Find two possible lengths for CD if C, D, and E

are collinear, CE = 15.8 centimeters, and DE=
3.5 centimeters.

Answer 1

Given :

C, D, and E are col-linear, CE = 15.8 centimetres, and DE= 3.5 centimetres.

To Find :

Two possible lengths for CD.

Solution :

Their are two cases :

1)

When D is in between C and E .

. . .

C D E

Here, CD = CE - DE

CD = 15.8 - 3.5 cm

CD = 12.3 cm

2)

When E is in between D and C.

. . .

D E C

Here, CD = CE + DE

CD = 15.8 + 3.5 cm

CD = 19.3 cm

Hence, this is the required solution.