EjvindSch
Jan 22, 2021

answers: 1

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Answer:

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

in ∆ABM and ∆ACM

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

so, ∆ABM ≅ ∆ACM by SSS congruency rule

_______________________(ii) find ∠CAMwe have, ∆ABM ≅ ∆ACM

➪ ∠CAM =∠BAM (by CPCT)

_______________________(iii) find ∠ABMwe have, ∆ABM ≅ ∆ACM

➪ ∠ABM =∠ACM (by CPCT)

________________________(iv) Find ∠AMCnow, in ∆AMC

★ by using angles sum property of a triangle

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

303

Augusta

Jan 22, 2021

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