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In a right angled triangle PQR , PR is the hypotenuse and other two aides are of length 3cm and 4cm. X is a point outside the traingle such that PX = 12 cm

and XR = 13 cm.Find the measures of angle FOR. class 10

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This seems to be simple.. Please see the diagram.

The angle PQR = 90. The angle PXR can be given as: PX = 12, PR =5 RX =13

as 12² + 5² = 13² , the triangle PXR is a right angle triangle.

The angle PXR : Sin⁻¹ 5/13 or tan⁻¹ 5/12 = 0.3948 radians or 22.62 deg.