The square's diagonal is the triangle's hypotenuse.
The Pythagorean theorem is =
Here, 'c' is the hypotenuse and 'a' and 'b' are the two sides of the triangle.
As the side is given 12 inches, so this becomes
inches
Ten runners join a race. In how many possible ways can they be arranged as first, second, and third placer? Pls answer
2 answers:
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The complete proof for the given parallelogram is given in the image attached below.
<h3>What is a Parallelogram?</h3>A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.
The complete proof would be as shown below:
1. ABCD is a parallelogram [given]
2. AB║CD [Definition of parallelogram]
3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]
4. AB ≅ CD [Definition of parallelogram]
5. ΔABE ≅ ΔCDE [ASA]
6. AE ≅ CE, BE ≅ DE [CPCTC]
7. AC and BD bisects each other at E [definition of segment bisector]
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