25. In the adjoining figure, PQR, is a right triangle, right angled at Q. X and Y aron PO and QR such that Px : xo 1:2 and QY: YR 2:1. Provee the pointsthat 9(PY2 XR) 13 PR2

25. In the adjoining figure, PQR, is a right triangle, right angled at

1.	25. In the adjoining figure, PQR, is a right triangle, right angled at Q. X and Y aron PO and QR such that Px : xo 1:2 and QY: YR 2:1. Provee the pointsthat 9(PY2 XR) 13 PR2
Answer» In triangle XRQ XQ²+QR²=XR²(2/3PQ)²+QR²=XR²4/9PQ²+QR²=XR² (1)BY Pythagoras THEOREM IN TRIANGLE PYRPQ²+QY²=PY²PQ²+(2/3QR)²= PY² (2)BY PYTHAGORAS PQ²+4/9QR²=PY²IN TRIANGLE PQRPQ²+QR²=PR² (3)PYTHAGORAS THEOREMAdding 1 and 24/9QR²+QR²+4/9PQ²+PQ²=XR²+PY²13/9 QR²+ 13/9 PQ ²= XR²+PY²1/9(13QR²+13PQ²) = XR²+PY²13(QR²+PQ²) =9(XR²+PY²) FROM 3 WE GET 13PR²=9(XR²+PY²)