Question

Will you pls answer this one? ​

Answer 1

Step-by-step explanation:

b + c + a =180. ( angle sum property of triangle)

90 + x + 2x = 180.

x= 30°..

C = 2× 30° = 60°.

tanC = p/b.

tan60° = 12/BC .

root 3 = 12/ BC.

BC = 12 / ROOT 3.

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Answer 2

Answer:

We know in \triangle ABC, AB=5cm, BC=12cm△ABC,AB=5cm,BC=12cm.

So, by pythagoras theorem we can find the length of side ACAC

AC^2= AB^2 +BC^2=5^2+ 12^2AC

2

=AB

2

+BC

2

=5

2

+12

2

\therefore AC=13cm∴AC=13cm

Circle is inscribed in a triangle. This type of circle is called as Incircle.

So, radius of incircle =\displaystyle \frac {2 \triangle }{a+b+c}=

a+b+c

2△

where \triangle△ is the area of \triangle ABC△ABC and a,b,ca,b,c are the sides of the triangle.

Area of \triangle ABC= \displaystyle \frac {1}{2} AB \times BC= \frac {1}{2} \times 5 \times 12= 30sq.cm△ABC=

2

1

AB ×BC=

2

1

×5×12=30sq.cm

\therefore∴ radius of incircle = \displaystyle \frac {2 \times 30}{5+12+13}=\frac {60}{30}=2cm=

5+12+13

2×30

=

30

60

=2cm

Step-by-step explanation:

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