Trigonometric Equations Question 2
Question: If in a triangle $ ABC $ right angled at $ B,s-a=3 $ , $ s-c=2 $ , then the values of a and c are respectively
Options:
A) 2, 3
B) 3, 4
C) 4, 3
D) 6, 8
Show Answer
Answer:
Correct Answer: B
Solution:
- $ s-a=3\Rightarrow b+c-a=6 $ ….(i) $ s-c=2\Rightarrow a+b-c=4 $ ….(ii) Adding these two equations, we get $ b=5 $ Since B is a right angle \ $ b^{2}=a^{2}+c^{2}\Rightarrow a^{2}+c^{2}=25 $ ….(iii) Solving, we get $ a=3,c=4 $ .
BETA
