Question

If abc is right angled triangle at b , the perimeter of triangle =24 cm ,and ab=6cm ,what is the angle of c ?

Answer 1

Answer:

Step-by-step explanation:

Here, B = 90 degree

ab and bc are sides adjacent to angle b, ac is the hypotenuse.

Now, ab + bc + ac = 24 cm

or, 6 + bc + ac = 24

or, bc + ac = 18

ac must be greater than bc (as hypotenuse)

So, ac = 10 cm

bc = 8 cm

so, tanC = (6/8)

or, C = 36.87 degree

Answer 2

Step-by-step explanation:

angle of C is

ab=6cm

other sides=24-6=18

let other sides=x+y=18

using pythagoras theory

ab^2+bc^2=ac^2

6^2=ac^2-bc^2

36=(ac+bc)(ac-bc)

36=(18)(x-y)

36=18 (x-(18-x))

36=18(x-18+x)

36=18(2x-18)

36=36x-324

36+324=36x

360/36=x

x=10

then

y=18-10

y=8

let find /c

sin(c)=6/10

sin(c)=0.6

sin^-1 (0.6)=c

sin^-1 (0.6)=36.8698976458

c=36.8698976458

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