Question:
Consider the following statements: I. The triangle is right-angled. II. One of the sides of the triangle is 3 times the other. III. The angles A, C and B of the triangle are in AP. Which of the statements give above is/are correct?
Consider the following statements: I. The triangle is right-angled. II. One of the sides of the triangle is 3 times the other. III. The angles A, C and B of the triangle are in AP. Which of the statements give above is/are correct?
Options:
- a) I only
- b) II and III only
- c) I and III only
- d) I, II and III
- a) I only
- b) II and III only
- c) I and III only
- d) I, II and III
correct answer : c)
Explanation:
ÐB
=
x = 30°, ÐA
=
3x = 90°,
ÐC
=
180° – 120° = 60°
\ T riangle is right-angled.
\ 30°, 60° and 90° are in A.P .
So options (I) and (III) are only correct.
ÐB
=
x = 30°, ÐA
=
3x = 90°,
ÐC
=
180° – 120° = 60°
\ T riangle is right-angled.
\ 30°, 60° and 90° are in A.P .
So options (I) and (III) are only correct.