In ∆PAL, ∠A = 56° and ∠L = 72°. Which is the longest side of the triangle?*PLPAALLA
Question
In ∆PAL, ∠A = 56° and ∠L = 72°. Which is the longest side of the triangle?*PLPAALLA
Solution
In a triangle, the longest side is opposite the largest angle.
Step 1: Identify the largest angle in the triangle. In ∆PAL, ∠A = 56° and ∠L = 72°. The third angle ∠P can be found using the fact that the sum of angles in a triangle is 180°. So, ∠P = 180° - 56° - 72° = 52°.
Step 2: Compare the angles. We can see that ∠L = 72° is the largest angle.
Step 3: Identify the side opposite the largest angle. The side opposite ∠L is PA.
Therefore, PA is the longest side of the triangle.
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