in triangle abc , right angled at b , bc=10cm and angle acb=45 , the length of ac is
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Answers
Answered by
73
Answer:
Length of AC is 10√2 cm.
Step-by-step explanation:
Given :
- ABC is right angled triangle at B.
- Length of BC is 10 cm.
- ∠ACB is 45°.
To find :
- Length of AC.
Solution :
Using trigonometry :
cos Ѳ = Base/Hypotenuse
• cos 45° = 1/√2
1/√2 = Base/Hypotenuse
1/√2 = BC/AC
1/√2 = 10/AC
• Cross multiple
AC = 10 × √2
AC = 10√2
Therefore,
Length of AC is 10√2 cm.
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Answered by
59
Answer:
✰ Given :
- ABC is right angled triangle at B.
- Length of BC is 10 cm.
- ∠ACB is 45°
✰ To Find :
- Length of AC is ?
✰ Solution :
Then using the trigonometry :
✰ Cross multiply
✰ Therefore ,
- Length of AC is 10✓2 cm.
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