Question

19.
In Fig. 3, ABC is a right triangle, right
angled at C and D is the mid-point of BC.
Prove that AB2 = 4AD2-3AC2.
D
Fig. 3​

Answer 1

Answer:

1. in triangle ABC , c is 90

Step-by-step explanation:

and as per pythagores theorem ,

AB2=Ac2 +BC2. .....eq 1

And D is mid point on BC

so , in triangle ACD

AD2=AC2+CD2. ........eq2

here, CD =1/2BC

in eq 2

ad2 =ac2+1/4bc2

ad2 =(4ac2+bc2 )/4

4 ad2 -4ac2 =