In the figure shown, what additional information is needed to show that △ABC≅△DEF by ASA?
2 answers:
Answer:
The additional information to show ΔABC ≅ ΔDEF by ASA is ≅
Step-by-step explanation:
The given parameters in the figure are;
Angle m∠BAC is congruent to angle m∠FDE
Angle m∠ABC is congruent to angle m∠FED
Therefore, in order to show that ΔABC is congruent to ΔDEF, by the Angle-Side-Angle (ASA) rule of congruency, the additional information is the congruency of the included sides between the given angles as follows;
The additional information to show ΔABC ≅ ΔDEF by ASA is is congruent to
which can be written as
≅
.
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Answer:
The length of the sides of the square is 9.0015
Step-by-step explanation:
Given
The diagonal of a square = 12.73
Required
The length of its side
Let the length and the diagonal of the square be represented by L and D, respectively.
So that
D = 12.73
The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:
Solving further, we have
Divide both sides by 2
Take Square root of both sides
Reorder
Now, the value of L can be calculated by substituting 12.73 for D
(Approximated)
Hence, the length of the sides of the square is approximately 9.0015