Questions: Determine the type of triangle that is drawn below.

Transcript text: Determine the type of triangle that is drawn below.

Solution

Solution Steps

Step 1: Analyze the given triangle

We are given a triangle with sides PQ = 4.27, PR = 7.22, and QR = 4.99. The angles are ∠P = 43°, ∠Q = 102°, and ∠R = 35°.

Step 2: Classify the triangle based on sides

Since all three sides of the triangle have different lengths (PQ ≠ PR ≠ QR), the triangle is scalene.

Step 3: Classify the triangle based on angles

Since all three angles of the triangle are acute (less than 90°), and they add up to 180° (43° + 102° + 35° = 180°), and one angle (∠Q) is obtuse (greater than 90°), this triangle is considered an obtuse triangle based on its angles.

Final Answer

The given triangle is an obtuse scalene triangle. \\(\boxed{\text{Obtuse Scalene}}\\)

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