Does anyone know the answer for the question below.
1 answer:
Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17
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There are several ways two triangles can be congruent.
<em> congruent by SAS</em>
<em> congruent by corresponding theorem</em>
In and
(see attachment), we have the following observations
--- Because O is the midpoint of line segment AD
--- Because O is the midpoint of line segment BC
---- Because vertical angles are congruent
---- Because vertical angles are congruent
Using the SAS (<em>side-angle-side</em>) postulate, we have:
Using corresponding theorem,
---- i.e. both triangles are congruent
The above congruence equation is true because:
- <em>2 sides of both triangles are congruent</em>
- <em>1 angle each of both triangles is equal</em>
- <em>Corresponding angles are equal</em>
See attachment
Read more about congruence triangles at:
