Plz solve this problem
Dear student,
Let PR be 'x' and QR be = 25-x
Using Pythagoras Theorem,
==>PR^2 = PQ^2 + QR^2
x^2 = (5)^2 + (25-x)^2
x^2 = 25 + 625 + x^2 - 50x
50x = 650
x = 13
therefore, PR = 13 cm
and, QR = (25 - 13) = 12 cm
Now, Sin P = opposite/hypotenuse = QR/PR = 12/13
Tan P= opposite/adjacent = QR/PQ = 12/5
Cos P= adjacent/hypotenuse = PQ/PR = 5/13
Regards
Let PR be 'x' and QR be = 25-x
Using Pythagoras Theorem,
==>PR^2 = PQ^2 + QR^2
x^2 = (5)^2 + (25-x)^2
x^2 = 25 + 625 + x^2 - 50x
50x = 650
x = 13
therefore, PR = 13 cm
and, QR = (25 - 13) = 12 cm
Now, Sin P = opposite/hypotenuse = QR/PR = 12/13
Tan P= opposite/adjacent = QR/PQ = 12/5
Cos P= adjacent/hypotenuse = PQ/PR = 5/13
Regards