CH is an altitude of the triangle ABC, m∠A = 40°, m∠B = 68°. The circle with the diameter CH intersects sides AC and BC at point
s N and M respectively. Find the measure of the angles CNM, HNM, and HMN.
1 answer:
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Answer:
There you go.
Step-by-step explanation:
Please do tell me if it's wrong.
Since and
are roots of
, we can factorize the quadratic in terms of the roots as
Expanding the right side gives
so that
A polynomial with roots and
would be
and expanding this gives
Now,
and
So we can write the second quadratic in terms of as
and to make things look cleaner, scale the whole expression by to get