Question

the following figure :
OA = 2 cm
AB = 2BC = 1/2CD = 1/6DE
Find the length of OE.
D​

Answer 1

Answer:  OA = 2 cm = AB = 2BC = 1/2CD = 1/6DE

To Find : Length of OE

Solution:

OA = 2 cm

AB = 2  cm

2BC = 2 => BC   = 1 cm

(1/2)CD = 2  => CD = 4 cm

(1/6)DE = 2 =>  DE = 12  cm

OB² = OA² + AB²

OC² = OB² + BC² = OA² + AB² + BC²

OD² = OC² + CD² = OA² + AB² + BC² + CD²

OE² = OD² + DE² = OA² + AB² + BC² + CD²  +  DE²

OE² = OA² + AB² + BC² + CD²  +  DE²

OE² = 2² +  2² + 1² + 4² + 12²

=> OE² = 4 +  4 + 1 + 16 + 144

=> OE² = 169

=> OE² = 13²

=> OE = 13  cm

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