Question

the circumradius of a right triangle of perimeter 24 cm is 5cm of the triangle?

Answer 1

Answer:

24cm ²

Step-by-step explanation:

Perimeter  =24

Sum of other two sides  =24−10−14

(as 10 is hypotenuse)

So, applying pythagoras theorem, we get

10  

2

=x  

2

+(14−x)  

2

 

⇒100=x  

2

+196+x  

2

−28x

⇒2x  

2

−28x+96=0

⇒x  

2

−14x+48=0

⇒x  

2

−8x−6x+48=0

So, x=8 or 6

Area=  

2

1

​

×b×h

=  

2

1

​

×6×8

=24cm  

2