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The figure in the attachment depicts the question.
In ∆ POX and ∆ QOX,
- OP = OQ
- XP = XQ
- OX = OX
¶ ∆ POX ~= ∆ QOX by SSS congruence.
¶ Angle POX = Angle QOX [ CPCT ] .............{|}
Also
In ∆ POR and ∆ QOR
- OP = OQ
- {|}
- OR = OR
¶ ∆ POR ~= ∆QOR by SSS congruence.
¶ Angle PRO = Angle QRO [ CPCT ] ..............{||}
¶ PR = QR [ CPCT ] .............{|||}
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Angle PRO = 90° = Angle QRO = Angle PRX
Let OR be X.
XR = 4 - X
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PR^2 = 25 - X^2 = -7 -X^2 + 8X
X = 4 cm.
PR = 3cm.
Length of common core = 3 • 2 = 6 cm.
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hey here is your answer
hope it helps
mark it as brainliest ☺️
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