Question

PQR is a right angled triangle. Q =90° , PQ = 12cm , QR = 5 cm . Find PR​

Answer 1

${pr}^{2} = {pq}^{2} + {qr}^{2} \\ {pr}^{2} = {12}^{2} + {5}^{2} \\ {pr}^{2} = 144 + 25 \\ {pr}^{2} = 169 \\ pr = \sqrt{169} \\ pr = \sqrt{13 \times 13 } \\ = 13 \\ and \: that \: is \: your \: answer$

Answer 2

Answer: The value of PR in triangle PQR is 13.

Step-by-step explanation:

Given: PQR is a right angled triangle. Q =90°, PQ = 12 cm , QR = 5 cm.

To find: We have to find the value of PR.

Step 1: In triangle PQR ∠B=90°,PQ=12cm and QR=5cm.

           On applying pythagoras theorem,

                        $(PR)^{2} = (PQ)^{2} - (QR)^{2}$

Step 2: Substitute the value of  PQ and QT respectively in above equation  we get,

                        $(PR)^{2} = (12)^{2} + (5)^{2}$

                        $(PR)^{2} = 144+25$

                        $(PR)^{2} = 169$

                            $PR = 13$

Hence, the value of PR in triangle PQR is 13.

Concept:The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle. Let us learn more about the Pythagoras theorem, its derivations, and equations followed by solved examples on the Pythagoras theorem triangle and squares.

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