Find the length In the given figure. Find the length BC & AB. given ac=17cm ad=17cm dc=9cm
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Answer:
28 cm
Step-by-step explanation:
Given AD ⊥ BC, AB = 25 cm, AC = 17 cm and AD = 15 cm.
Δ ADC is a right triangle.
∴AC
2
=AD
2
+DC
2
[Pythagoras theorem]
∴17
2
=15
2
+DC
2
289=225 + DC
2
∴DC
2
= 289−225
∴DC
2
= 64
Taking square root on both sides,
DC=8cm
ΔADB is a right triangle.
∴AB
2
=AD
2
+BD
2
[Pythagoras theorem
25
2
= 15
2
+ BD
2
625=225 + BD
2
∴BD
2
=625−225=400
Taking square root on the both sides.
BD=20cm
∴BC=BD+DC
= 20+8
= 28cm
Hence the length of BC is 28cm.
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