Question

А.
3
In the given figure; AD is perpendicular to BC
produced. Prove that :
C2 = a2 + b2 + 2ax.
c
b
h
B.
D
C
a
X​

Answer 1

Answer:

Step-by-step explanation:

In right-angle ΔABD , from Pythagorus Theorem

AB  

2

=AD  

2

+BD  

2

 

c  

2

=h  

2

+(a+x)  

2

 

c  

2

=h  

2

+a  

2

+x  

2

+2ax ................. (1)

In right-angle ΔACD , from Pythagorus Theorem

AC  

2

=AD  

2

+CD  

2

 

b  

2

=h  

2

+x  

2

 

b  

2

−x  

2

=h  

2

 .......................... (2)

Substitute the above value of h  

2

 in equation (1),

c  

2

=b  

2

−x  

2

+a  

2

+x  

2

+2ax  

c  

2

=b  

2

+a  

2

+2ax