Question:
Consider the following statements: I. The triangle is an obtuse-angled triangle. II. The sum of acute angles of the triangle is also acute. Which of the statements given above is/are correct?
Consider the following statements: I. The triangle is an obtuse-angled triangle. II. The sum of acute angles of the triangle is also acute. Which of the statements given above is/are correct?
Options:
- a) I only
- b) II only
- c) Both I and II
- d) Neither I nor II
- a) I only
- b) II only
- c) Both I and II
- d) Neither I nor II
correct answer : c)
Explanation:
a = 5 cm, b = 7 cm, c = 3 cm
cos B = ac b
ac
22 2
2
+-
= 25 94 9
25 3
+-
××
= –
×
15
21 5
= -1
2
B
= 120°
\ A + C = 180° – 120° = 60° (acute)
So both statements are correct.
a = 5 cm, b = 7 cm, c = 3 cm
cos B = ac b
ac
22 2
2
+-
= 25 94 9
25 3
+-
××
= –
×
15
21 5
= -1
2
B
= 120°
\ A + C = 180° – 120° = 60° (acute)
So both statements are correct.