, in triangle abc altitudes are drawn from the vertices B and C on AC and ab respectively such that BL equal to CM prove that triangle ABC is congruent to Triangle cbl
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Answer with Step-by-step explanation:
Given: In triangle ABC
BL and CM are altitudes on side AC and AB
BL=CM
To prove that triangle BCM and triangle CBL are congruent.
Proof:
Reason: common side
BL=CM
Reason: Given
Angle BLC=Angle CMB=90 degrees
BCMCBL
Reason: RHS Postulate
Hence, proved.
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