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QUESTION 1 O is the centre of both circles in the diagram below and OE 1 ABCD. The radii of the two circles are 37cm and 13cm respectively and OE = 12 cm, calculate AB. 1.1 B E D Figure 1: Diagram for question 1.1. (5)​

QUESTION 1 O is the centre of both circles in the diagram below and OE 1 ABCD The radii of the two circles are 37cm and 13cm respectively and OE 12 cm calculate class=

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dionissenjo16

Answer:

Step-by-step explanation:

We can draw two more lines, OA and OB. OA = 37, and OE = 12, so using Pythagoras Theorem, we get:

37^2 = 12^2 + AE^2

1369 = 144 + AE^2

AE^2 = 1225

AE = 35

Now we find Length BE:

13^2 = 12^2 + BE^2

169 = 144 + BE^2

BE^2 = 25

BE = 5

AB + BE = AE

AB + 5 = 35

AB = 35 - 5 = 30

Solution: 30

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