If Δ GUT is isosceles and right angled, then ㄥTUG is ________. 

The hypotenuse of a right angled triangle of sides 12cm and 16cm is __________.

The area of a rectangle of length 21 cm and diagonal 29 cm is __________cm².

If the square of the hypotenuse of an isosceles right triangle is 50 cm², the length of each side is ____________.

The sides of a right angled triangle are in the ratio 5: 12: 13 and its perimeter is 120 units then, the sides are ______________.

In the figure, find PR and QR.

Find the distance between the helicopter and the ship.

The sides of a triangle are 1.2 cm, 3.5 cm and 3.7 cm. Is this triangle a right triangle? If so, which side is the hypotenuse?

Rithika buys an LED TV which has a 25 inches screen. If its height is 7 inches, how wide is the screen? Her TV cabinet is 20 inches wide. Will the TV fit into the cabinet? Why?

In the figure, find MT and AH.

A 20- feet ladder leans against a wall at height of 16 feet from the ground. How far is the base of the ladder from the wall?

Find LM, MN, LN and also the area of Δ LON.

Find the area of a rectangular plot of land shown in the figure.

Construct a parallelogram DUCK with DC = 8 cm, UK = 6 cm and ㄥDOU = 110⁰. Also find its area.

Construct a parallelogram BEAR with BE = 7 cm, BA = 7.5 cm and ㄥBEA = 80⁰. Also find its area.

Construct a trapezium CARD in which \(\overset { \_ }{ CA } \) is parallel to \(\overset { \_ }{ DR} \), CA = 9 cm, ㄥCAR = 70, AR = 6 cm and CD = 7 cm. Also find its area.

Construct a trapezium DEAN in which \(\overset { \_ \_ }{ DE } \) is parallel to \(\overset { \_ \_ }{ NA } \), DE = 7 cm, EA = 6.5 cm ㄥEDN = 100⁰ and ㄥDEA = 70⁰. Also find its area.