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-20 Given that 
/_\ABC is an isosceles triangle p nie that right riangles 
/_\ADB ana 
/_\AOC are congwent

20-20 Given that ABC \triangle A B C is an isosceles triangle p nie that right riangles ADB \triangle A D B ana AOC \triangle A O C are congwent

Full solution

Q. 20-20 Given that ABC \triangle A B C is an isosceles triangle p nie that right riangles ADB \triangle A D B ana AOC \triangle A O C are congwent
  1. Congruent Triangles Corresponding Parts: Since triangles ADBADB and AOCAOC are congruent, we can say that AD=AOAD = AO and BD=OCBD = OC because corresponding parts of congruent triangles are equal.
  2. Isosceles Triangle Properties: In isosceles triangle ABCABC, AB=ACAB = AC because two sides in an isosceles triangle are equal.
  3. Sum of Sides in Triangles: Since AB=ACAB = AC and BD=OCBD = OC, we can say that AD+BD=ABAD + BD = AB and AO+OC=ACAO + OC = AC.
  4. Equality of Sides: Therefore, AD+BD=AO+OCAD + BD = AO + OC, which means AD=AOAD = AO (because BD=OCBD = OC).
  5. Constant Value: The value of 20-20 is not dependent on the properties of the triangles, so the value remains 20-20.

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