Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
Answer:135
Step-by-step explanation:
Based on the right angle triangle and the given parameters, cos K = 5/13
<h3>Trigonometric ratios</h3>
- sin = opposite / hypotenuse
- cos = adjacent / hypotenuse
- Tan = opposite / adjacent
Given parameters:
- Hypotenuse = 13
- Adjacent = 5
- Opposite = 12
Therefore,
cos K = adjacent / hypotenuse
cos K = 5/13
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Answer:
second one
Step-by-step explanation: