HELP ASAP!! WHAT ARE THE ANSWERS?!!!
1. Identify the sequence that lists the angles of △XYZ in order from smallest to largest.
2. See picture below
3. See the picture below.
Answers
Answer:
X,Y,Z
Step-by-step explanation:
Angle opposite to largest side is the largest angle
The angles in ascending order are- ∠Z, ∠Y, ∠Z; the sides of the triangle cannot be 7.2, 7.7, and 15 because 7.2 + 7.7 < 14.9; sides of the triangle can be 12.5, 7.2, and 14 because 12.5 + 7.2 > 14.
Given:
A triangle, as shown in the picture above.
To Find:
1. sequence of the angles from smallest to largest
2. to show if the sides of the triangle can be 7.2, 7.7, and 15
3. to show if the sides of the triangle can be 12.5, 7.2, and 14
Solution:
The angle opposite to the longest side is the largest and that opposite to the smallest side is the smallest.
Since XY is the longest side, ∠Z will be the largest.
Similarly, ∠Y and ∠X will follow in that order.
The length of any two sides of a triangle must be greater than the third side. If we take 7.2, 7.7, and 15 as the sides,
7.2 + 7.7 = 14.9 which is not greater than 15 and so a triangle cannot be formed.
If we takes sides as 12.5, 7.2, and 14, a triangle will be formed because any two pairs of sides will be greater than the third.
Thus, the angles in ascending order are- ∠Z, ∠Y, ∠Z; the sides of the triangle cannot be 7.2, 7.7, and 15 because 7.2 + 7.7 < 14.9; sides of the triangle can be 12.5, 7.2, and 14 because 12.5 + 7.2 > 14.
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