In the figure below, the following is true: angle ABD is congruent to angle CDB and angle DBC is congruent to angle BDA. How can
you justify that triangle ABD is congruent to triangle CDB?
Options:
SAS
SSS
ASA
CPCTC
Options:
SAS
SSS
ASA
CPCTC
2 answers:
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Answer:
Step-by-step explanation:
We have been provided a graph of a triangle and we are asked to find the length of segment DE.
Angle bisector theorem states that if a ray bisects an angle of a triangle, then it bisects the opposite side of triangle into segments that are proportional to other two sides.
By angle bisector theorem we can set proportions of the given sides as:
Upon substituting our given values in above proportion we will get,
Upon multiplying both sides of our equation by 2 we will get,
Therefore, the length of segment DE is 4 units.
Answer:
WX = 7.9
Step-by-step explanation:
By applying tangent rule (law of tan) in the given right triangle WXY.
tan(W) =
tan(27)° =
0.509525 =
WX =
WX = 7.85
WX ≈ 7.9
Therefore, length of side WX is 7.9 units.