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EjvindSch EjvindSch Jan 22, 2021

Solve the question seen in the attachment are yar dedo please ☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹​

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Solution :-

SSS congruence rule = side - side - side

  • if all three sides of two triangles are equal to each other, then the traingles are congruent by SSS congruency rule

CPCT : Corresponding parts of congruent triangles

  • two or more triangles are congruent, then all of their corresponding angles and sides are congruent as well
__________________________(i) prove that ∆ABM ≅ ∆ACM

in ∆ABM and ∆ACM

  • AB = AC (given)
  • BM = CM (given)
  • AM = AM (common)

so, ∆ABM ≅ ∆ACM by SSS congruency rule

_______________________(ii) find ∠CAM

we have, ∆ABM ≅ ∆ACM

➪ ∠CAM =∠BAM (by CPCT)

_______________________(iii) find ∠ABM

we have, ∆ABM ≅ ∆ACM

➪ ∠ABM =∠ACM (by CPCT)

________________________(iv) Find ∠AMC

now, in ∆AMC

★ by using angles sum property of a triangle

  • sum of all interior angles of a triangle is equal to 180°

Augusta Augusta
Jan 22, 2021
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