In ΔABC, AB = 10, AC = 7, BC = 9 then find the length of the median drawn from point C to side AB

Walls of two buildings on either side of a street are parellel to each other. A ladder 5.8 m long is placed on the street such that its top just reaches the window of a building at the height of 4 m. On turning the ladder over to the other side of the street , its top touches the window of the other building at a height 4.2 m. Find the width of the street.

In ΔPQR, point S is the midpoint of side QR. If PQ = 11,PR = 17, PS = 13,find QR.

In the figure 2.28 seg PS is themedian of ΔPQR and PT ⊥ QR. Prove that,

(1)

(2)

In ΔABC, point M is the midpointof side BC.

If, AB² + AC² = 290 cm²,AM = 8 cm, find BC.