Simplify the following completely, show all work. √-45
1 answer:
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In the given diagram, the length of diagonal IE is 30. The correct option is (2) 30
<h3>Calculating the length of a diagonal of a Rhombus </h3>From the question, we are to determine the length of diagonal IE
From the given information,
/TG/ = 16
∴ /RG/ = 16÷2 = 8
NOTE: The diagonals of a rhombus bisect each other at right angles
Then,
/GE/² = /ER/² + /RG/² (<em>Pythagoras' theorem</em>)
From the given information, the perimeter of the rhombus is 68
Since all the sides of a rhombus are equal to one another,
Then,
/GE/ = 68÷4
/GE/ = 17
Thus,
17² = /ER/² + 8²
289 = /ER/² + 64
/ER/² = 289 - 64
/ER/² = 225
/ER/ = √225
/ER/ = 15
But,
/IE/ = 2 × /ER/
∴ /IE/ = 30
Hence, the length of diagonal IE is 30. The correct option is (2) 30
Learn more on Calculating length of a diagonal of a rhombus here: brainly.com/question/12354523
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