Question

If the perimeter of a trapezium is 70 em and the length of non parallel sides are equal to 23 cm then the sum of parallel sides is (a) 23 (b) 24 (C) 25 (d) 26​

Answer 1

24

will be answere

thanks

Answer 2

Step-by-step explanation:

Draw a line BC parallel to AD

Draw a perpendicular line BE on DF

ABCD is a parallelogram.

BC=AD=25 cm

CD=AB=60 cm

CF=77−CD=17cm

For ΔBCF

semiperimeter of triangle=

2

25+26+17

=

2

68

=34

By Heron's Formula of triangle=

s(s−a)(s−b)(s−c)

=

34(34−25)(34−26)(34−17

)

=204cm²

Also, area of ΔBCF=

2

1

×base×height

204=

2

1

BE×CF

204=

2

1

BE×17

BE=408/17

BE=24 cm

Area of Trapezium=

2

1

(AB+DF)×BE

=1/2(60+77)×24

Area=1644cm²

solution