Find the inradius of a triangle having sides 13, 14 and 15 units.
(A) 4
(B) 6
(C) 8
(D) 42
The lengths of one side of a rhombus and one of the two diagonals are 6 cm each. Find the area of the rhombus (in cm2).
(A) 27√3
(B) 18
(C) 9√3
(D) 18√3
The centroid of a ∆ABC is G. The area of ∆ABC is 60 cm². The area of ∆GBC is
(A) 30 cm²
(B) 40 cm²
(C) 10 cm²
(D) 20 cm²
The difference between the interior and exterior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is
(A) 10
(B) 15
(C) 24
(D) 30
In the given figure , DE‖BC and AD:DB=5:3, then what is the value of DE|BC?
(A)
(B)
(C)
(D)
In ∆ABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is
(A) 2 : 1
(B) 1 : 2
(C) 4 : 5
(D) 3 : 5
The length of the intercept of the graph of the equation 9x – 12y = 108 between the two axes is
(A) 15 units
(B) 9 units
(C) 12 units
(D) 18 units
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