Find the diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.

Find the side and perimeter of a square whose diagonal is 10 cm.

In figure 2.21, ∠DEF = 90°, FG ⊥ ED, If GD = 8, FG = 12,find (1) EG (2) FD and (3) EF

In the figure 2.22, M is themidpoint of QR. ∠PRQ = 90°. Prove that, PQ² = 4PM² – 3PR²

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.