Question

Please answer this question asap.Thank you​

Answer 1

Answer:

hey your answer is as follows

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Step-by-step explanation:

here triangle abc is a right angled triangle

so by using pythagoras theorem

we get ab square+bc square=ac square

ie substitute given values

we get ab=root 192 ie 8 root 3 cm

so now as triangle abc is a right angled triangle

area of right angled triangle=1/2×product of sides making right angle

ie area of triangle abc=1/2×8 root 3×8

=64root 3/2

=32root 3 (1)

also as here triangle bdc is an equilateral triangle

we know that area of equilateral triangle=

root 3/4×side square

=root 3/4×(8) square

=root 3/4×64

=16 root 3 (2)

now by area addition property

we get

area of triangle abc=area of triangle adb+bdc

so thus

32root 3-16root 3=area of triangle adb

=16 root 3

substitute value of root 3=1.73

we get 16×1.73

=27.68

hence area of shaded region is 27.68 cm square