# Geometry

# If △ABC is an isosceles triangles with ∠C = 90° and AC = 5 cm, then AB is:

If △ABC is an isosceles triangles with ∠C = = 90° and AC = 5 cm, then AB is: [A] [B] [C] [D] Show Answer AC = BC = 5 cm ∴ AB Hence option [A] is the right answer.

# For an equilateral triangle, the ratio of the in-radius and the ex-radius is:

For an equilateral triangle, the ratio of the in-radius and the ex-radius is: [A] [B] [C] [D] Show Answer In-radius Circum-radius ∴ Required ratio Hence option [D] is the right answer.

# Aptitude Question ID : 93489

The side BC of a triangle ABC is extended to D. If ∠ACD = 120° and ∠ABC ∠CAB, then the value of ∠ABC is: [A]20° [B]80° [C]40° [D]60° Show Answer 40° ∠CAB = 2 ∠ABC ∠ACB + ∠ACD = 180° = ∠ACB + 120° = 180° = ∠ACB = 180° – 120° = 60° ∴ ..

# If in a triangle ABC as drawn in the figure, AB = AC and ∠ACD = 120°, then ∠A is equal to:

If in a triangle ABC as drawn in the figure, AB = AC and ∠ACD = 120°, then ∠A is equal to: [A]70° [B]60° [C]50° [D]80° Show Answer 60° ∠ACB = 180° – 120° = 60° AB = AC ∴ ∠ABC = ∠ACB = 60° ∴ ∠BAC = 60° Hence option [B] is the right ..

# If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is:

If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is: [A] [B] [C] [D] Show Answer In radius = Hence option [C] is the right answer.