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Fittoniya [83]
3 years ago
11

1. Which of the following measurements could be the three side lengths of a right triangle? a. 4 cm, 5 cm, 9 cm b. 12 cm, 20 cm,

25 cm c. 18 cm, 24 cm, 30 cm d. 2 cm, 3 cm, 5 cm
Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0

Answer:

b and c

Step-by-step explanation:

The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.

In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.

In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.

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<h3>Further explanation </h3>

Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. They share a vertex and side, but do not overlap. The example is shown in the picture below.  

Where ∠1 and ∠2 are adjacent angles, ∠ABC and ∠1 are NOT adjacent angles because ∠ABC overlaps ∠1.

Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines). Vertical angles are located across from one another in the corners of the "X" formed by the two straight lines.  The example is shown in the picture below.

Where ∠1 and ∠2 are vertical angles, ∠3 and ∠4 are vertical angles, Vertical angles are not adjacent.  ∠1 and ∠3 are not vertical angles (they are a linear pair) and Vertical angles are always equal in measure.

<h3>Learn more</h3>
  1. Learn more about vertical angles brainly.com/question/2448393
  2. Learn more about pair of angles brainly.com/question/1358595
  3. Learn more about adjacent angles brainly.com/question/10557061

<h3>Answer details</h3>

Grade:  9

Subject:  mathematics

Chapter:  pair of angles

Keywords:   vertical angles, adjacent angles, pair of angles, complementary angles, horizontal angles

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