EACH is a rhombus in fig . Where, [3] OH=12, OE = x, OA = y OC = 5, EA = 13 Find x, y, z ?
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Given: EACH is a rhombus
OH=12, OE = x, OA = y OC = 5, EA = z
To Find: x, y, z ?
Solution:
EACH is a rhombus
Diagonals of a rhombus bisect each other perpendicularly
Hence
OH = OA
=> 12 = y
Hence y = 12
OC = OE
=> 5 = x
=> x = 5
EA² = OE² + OA²
=> z² = x² + y²
=> z² = 5² + 12²
=> z = 13
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