In the figure below, Px=12cm Yz=7cm the perimeter is 27cm. find h the perimeter of pxz . full solution​

Question

In the figure below, Px=12cm Yz=7cm
the perimeter is 27cm. find h
the perimeter of pxz .
full solution​

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Ella 1 month 2021-09-16T16:26:42+00:00 1 Answer 0 views 0

Answers ( )

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    2021-09-16T16:28:18+00:00

    Given : PA and PB are tangent to the circle with centre O.

    XY is a tangent to the circle at Z which intersects PA and PB in X and Y respectively and PA = 12 cm.

    Lengths of tangents drawn from as external point to a circle are equal.

    ∴ PA = PB = 12cm

    XA = XZ

    YB = YE

    Now perimeter of ΔPXY = PX + XY + PY

    = PX + (XZ + YZ) + PY

    = PX + (XA + YB) + PY

    = (PX + XA) + (YB + PY)

    = PA + PB

    = 12cm + 12cm

    = 24cm.

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