Question

consider triangle pqr. what is the length of side qr?
8 units
8√3 units
16 units
16√3 units

Explanation:

Step1: Identify triangle type

Triangle \( PQR \) is right - angled at \( P \), with \( PR = 8 \) and \( PQ=8\sqrt{3} \). We can use the Pythagorean theorem \( c^{2}=a^{2}+b^{2} \) (where \( c \) is the hypotenuse and \( a,b \) are the legs of the right - triangle) to find the length of \( QR \).

Step2: Apply Pythagorean theorem

Let \( a = PR = 8 \), \( b = PQ = 8\sqrt{3} \), and \( c = QR \). Then according to the Pythagorean theorem:

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Answer:

16 units