Quantitative Aptitude - Geometry - Polygons - Let ABCDEF be a regular hexagon
Quantitative Aptitude - Geometry - Polygons
Question
Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is
A) 3√2
B) 3
C) 4
D) √3
Answer
Option (B)
Solution
From CAT 2017 - Quantitative Aptitude - Geometry - Polygons, we can see that,
Angle (ABC) = 120 deg
According to the formula,
Cos (theta) = (b^2 + c^2 – a^2)/2bc
Cos (120) = [(AB)^2 + (BC)^2 – (AC)^2]/2*AB*BC
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Quantitative Aptitude – Geometry - Polygons – In a parallelogram ABCD of area 72 sq cm
Slot -1 – Quantitative Aptitude – Geometry - Polygons – In a parallelogram ABCD of area 72 sq cm
In a parallelogram ABCD of area 72 sq cm, the sides CD and AD have lengths 9 cm and 16 cm, respectively. Let P be a point on CD such that AP is perpendicular to CD. Then the area, in sq cm, of triangle APD is?
a) 24√3
b) 12√3
c) 32√3
d) 18√3
Answer: c) 32√3
Solution:
As given, Area of parallelogram ABCD = 72
So AB
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