Geometry Aptitude Questions for Competitive Exams

If ∆ABC is an isosceles triangle with ∠C = 90° and AC = 5 cm then AB is : 

If AD, BE and CF are medians of ∆ABC, then which one of the following statements is correct? 

ABC is an isosceles triangle with AB = AC, A circle through B touching AC at the middle point of Q, intersects AB at P. Then AP : AB is : 

If in a triangle, the orthocenter lies on vertex, then the triangle is 

In a ∆ABC ∠A : ∠B : ∠C  = 2 : 3 : 4 . A line CD drawn || to AB, then the ∠ACD is: 

Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are 

P and Q are center of two circles with radii 9 cm and 2 cm respectively, where PQ = 17 cm, R is the center of another circle of radius x cm, which touches each of the above two circles externally. If ∠PRQ = 90 °, then the value of x is 

Each internal angle of regular polygon is two times its external angle. Then the number of sides of the polygon is: 

The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its medians is 

Each interior angle of a regular polygon is 144⁰. The number of sides of the polygon is