Using square ABCD, calculate the measure of ZEDC, if mZECD = 45°. =
2 answers:
Answer:
45°
Step-by-step explanation:
Two diagonals of a square intersect at right angle, I.e., 90°
BD and AC are two such diagonals of the square ABCD.
Since, they intersect at 90°:
∠DEC = 90°
We're given the value of ∠ECD and that is 45°
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<h3><u>Observing</u><u> </u><u>Triangle EDC:</u></h3><em>Sum of all angles in a triangle = 180°</em>
=> ∠DEC + ∠ECD + ∠EDC = 180°
=> 90 + 45 + ∠EDC = 180°
=> 135 + ∠EDC = 180
=> ∠EDC = 180 - 135
<u>=> ∠EDC = 45</u>
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<h3><u>Answer</u><u>:</u></h3>Hence, we know the value of ∠EDC and that is 45°
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Answer:
The hikers are 5.9 miles apart.
Step-by-step explanation:
Let O represents the base camp,
Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,
Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.
By making the diagram of this situation,
Let D' is the point in the line AB,
Such that, AD' = CD
In triangle BD'D,
BD' = AB + AD' = 1.5 + 0.5 = 2 miles,
DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,
By Pythagoras theorem,
Hence, the hikers are 5.9 miles apart.
