untitled

0DWK,;;)RUPD

or, 625  50 xx^2 h^2 400

or, 625  50 x 225 400 ; [with the help of equation (i)]

or, 50 x 450 ;?x 9

Puting the value of x in equation (i), we get,

81 h^2 225 or, h^2 144? h 12

Area of 'ABD = 9 12

2

1

2

1

BD˜AD u u square units = 36 square units

and area of 'ACD = ( 25 9 ) 12

2

1

2

1

BD˜AD  u square units

= 16 12

2

1

u u square units = 96 square units

Required area is 36 square units and 96 square units.

Exercise 16⋅ 1

1. The hypotenuse of a right angled triangle is 25 m. If one of its sides is
   4

3

th of the

other, find the length of the two sides.

2. A ladder with length 20m. stands vertically against a wall. How much further
   should the lower end of the end of the ladder be moved so that its upper end
   descends 4 metre?


3. The perimeter of an isosceles triangle is 16 m. If the length of equal sides is
   6

5

th

of base, find the area of the triangle.

4. The lengths of the two sides of a triangle are 25 cm., 27 cm. and perimeter is 84
   cm. Find the area of the triangle.


5. When the length of each side of an eq uilateral triangle is increased by 2 metre, its
   area is increased by 63 square metre. Find the length of side of the triangle.


6. The lengths of the two sides of a triangle are 26 m., 28 m. respectively and its
   area is 182 square metre. Find the angle between the two sides.


7. The perpendicular of a right angled triangle is 6cm less than
   12

11

times of the

base, and the hypotenuse is 3 cm less than

3

4

times of the base. Find the length

of the base of the triangle.

8. The length of equal sides of an isosceles triangle is 10m and area 48 square
   metre. Find the length of the base.