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Solving Trigonometric Expressions in a Right Triangle
Given PQ = 12cm , QR = ? , PR = 13cm / by Pythagoras theorem / PR = PQ + QR / 13 = 12 + QR / 169 = 144 + QR / 169 – 144 = QR / 25 = QR/ 25 = QR / 5 = QR / tan P – cot R / P|b – b|P / QR|PQ – QR|PQ / = 0 ANS Find tan P – cot R.
Sample Answer
Title: Solving Trigonometric Expressions in a Right Triangle
Given the lengths of sides in a right triangle ( \triangle PQR ) where ( PQ = 12 , \text{cm} ), ( PR = 13 , \text{cm} ), and we need to find ( QR ).
Applying Pythagoras Theorem
According to the Pythagorean theorem in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.