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