Question

Given DB=42, AD=26, and m∠DAE=52 °

Fill in the blanks

Answer 1

Answer:

1.42

2. 21

3. 26

4. 33

5. 52°

6.38°

7. 90°

Explanation:

1.The property of a rectangle is, two diagonals are of equal length.

2. DB = 42 , EB is half of DB.

3.The property of a rectangle is, the opposite sides are equal. AD and BC are opposite sides. Hence BC = 26.

4.To calculate AB, we use

$a^{2}$+$b^{2}$=$c^{2}$ where c is the diagonal DB = 42 , a is one side AD = 26 and b is the other side AB.

Substituting the values

676+$b^{2}$=1764

$b^{2}$=1764-676

$b^{2}$= 1088

Taking square root, we get

b=33.

5.The property of a rectangle is, opposite angles are equal. Hence  ∠DAE = ∠ BCA.

6.∠BAD is a right angle. To calculate ∠BAC, right angle - ∠DAE = 90° - 52° =  38°.

7.∠DCB is a right angle and the value is 90°.

To learn more about rectangles, visit:

https://brainly.com/question/25292087

To learn more about right angle, visit:

https://brainly.com/question/64787

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