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In the given figure, BX and CY are perpendicular to a line through the vertex A of triangle ABC and Z is the mid-point of BC. Prove that XZ=YZ. |
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Answer» -step explanation:In TRIANGLE XBZ AND CYZ , BZ = CZ -------- z is the midpoint angleXBZ=angleYCZ. ------- both angles are 90° BX =CY --------- Height of ∆ABC so, by SAS CONGRUENCY TEST , ∆XBZ=∆YCZ Therefore, by CPCT, XZ=YZ |
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