NEED HELP ASAP PLEASE!! The provided diagram of triangle ABC will help you to prove that the base angles of an isosceles triangl
e are congruent. The first step is to draw auxiliary line AO. What must be true about in order to complete the proof using the ASA (Angle Side Angle) triangle congruency theorem? Classify each statement as needed or not needed to complete the proof.
1 answer:
Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Δ ABC is isosceles triangle.
Therefore, AB = BC
Prove: Δ ABO ≅ Δ ACO
In Δ ABO and Δ ACO,
∠ BAO ≅ ∠ CAO ( AO bisects ∠ BAC )
∠ AOB ≅ ∠ AOC ( AO is perpendicular to BC )
BO ≅ OC ( O is the mid point of BC)
Thus, By ASA postulate of congruence,
Δ ABO ≅ Δ ACO
Therefore, By CPCTC,
∠B ≅ ∠ C
Where ∠ B and ∠ C are the base angles of Δ ABC.
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Answer:
The first 3 terms in the expansion of , in ascending power of x are,
coefficient of in the expansion of
= (240 - 192) = 48
Step-by-step explanation:
=
= + terms involving higher powers of x
= + terms involving higher powers of x
so, the first 3 terms in the expansion of , in ascending power of x are,
Again,
=
Now, by inspection,
the term comes from k =5 and k = 6
for k = 5, the coefficient of is ,
= -192
for k = 6 , the coefficient of is,
= 240
so, coefficient of in the final expression = (240 - 192) = 48