The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

Which of the following statements are true? Select all that apply.
•AG = 4
•GC = 10
•AH = 21
•EC = 12
•EH = 5
•CH = 5
•HE = 7

ill give the brainliest answer to whoever gets it right :)

The diameters of circles A C and E are 32 cm 24 cm and 14 cm respectively Which of the following statements are true Select all that apply AG 4 GC 10 AH 21 EC 1 class=

Respuesta :

Answer:

AG = 4

AH = 21

EC = 12

CH = 5

HE = 7

Step-by-step explanation:

We were given that the diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

HE is the radius of circle E whose diameter is 14cm.

This means that:

[tex]HE = \frac{1}{2} \times 14 = 7cm[/tex]

CE is the radius of circle C whose diameter is 24cm.

[tex]CE = \frac{1}{2} \times 24 = 12cm[/tex]

Also CE=CH +HE

This means 12=CH+7cm

CH=12-7

CH=5cm.

AC is the radius of circle A, whose diameter is 32cm

[tex]AC = \frac{1}{2} \times 32 = 16cm[/tex]

AG=AC-GC

AC=16-12=4cm

AH=AC+CH

AH=16+5

AH=21cm.

EC=HE+CH

EC=7+5

EC=12cm