Question

6).
In AABC, mZB = 90°, A(2, 3); B(4, 5) and C(a, 2). Then find a.​

Answer 1

Answer:

7

Step-by-step explanation:

Pythagoras theorem

(a-2)^2-(2-3)^2=(4-2)^2+(5-3)^2+(a-4)^2+(2-5)^2

a^2-4a+4+1=4+4+a^2-8a+16+9

-4a+5=33-8a

8a-4a=33-5

4a=28

a=28/4

a=7