(b)
3. In AABC, AB = 8 cm, BC = 15 cm and ZB =90°. Find
the length of AC.
Answers
Answered by
1
Step-by-step explanation:
In the given Δ ABC, AB = 8 cm, BC = 6 cm and AC = 3. Calculate the length of OC.
194378
In triangle AOB,
AB
2
=AO
2
+OB
2
(Pythagoras theorem)
AO
2
=AB
2
−OB
2
(I)
In triangle AOC,
AC
2
=OC
2
+AO
2
(Pythagoras theorem)
AO
2
=AC
2
−OC
2
(II)
From I and II,
AB
2
−OB
2
=AC
2
−OC
2
AB
2
−(OC+BC)
2
=AC
2
−OC
2
8
2
−(OC+6)
2
=3
2
−OC
2
64−OC
2
−36−12OC=9−OC
2
12OC=19
OC=
12
19
= 1
12
7
Answered by
3
Answer:
By Pythagoras Theorem,
AC²=AB²+BC²
or, AC²=8²+(15)²
or, AC²=64+225
or, AC²=289
or, AC=√289
or, AC=17cm
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