In the given figure seg PS is the median of ∆PQR and PT ⊥ QR. Prove that,(1) PR2=PS2+QR×ST+QR22(2) PQ2=PS2-QR×ST+QR22

In the given figure seg PS is the median of ∆PQR and PT ⊥ QR. Prov

1.	In the given figure seg PS is the median of ∆PQR and PT ⊥ QR. Prove that,(1) PR2=PS2+QR×ST+QR22(2) PQ2=PS2-QR×ST+QR22
Answer» In the given figure seg PS is the median of ∆PQR and PT ⊥ QR. Prove that, (1) ${PR}^{2} = {PS}^{2} + QR \times ST + {(\frac{QR}{2})}^{2}$ (2) ${PQ}^{2} = {PS}^{2} - QR \times ST + {(\frac{QR}{2})}^{2}$