TANCET 2008 Quant Qn 9 - Geometry, Mensuration

Question 9 : Geometry - Right Triangles : If the shaded area is one half the area of triangle ABC and angle ABC is right angle, then the length of line segment AD is

1. 
2. c
3. 
4. 
5. 

Angles in a triangle : TANCET Geometry

Geometry, specifically triangles is an oft tested area in the TANCET quant section.

Here is a relatively easy question on triangles.

If the largest angle in a triangle is 70^o, what is least possible value of the smallest angle of the triangle?

1) 69
2) 1
3) 40
4) 39
5) 41

The correct answer is 40.

Explanatory answer

The sum of the interior angles of a triangle is 180.

The question states that the largest of the angles is 70.

We are interested in finding the least possible value of the smallest of the three angles.

The least value for the smallest angle will be when the other two angles are as large as possible.

The largest value that the other two angles can take is 70 each.

Therefore, the least value of the smallest of the angles = 180 - 70 - 70 = 40

You can access more questions in Geometry by visiting this link