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Question


The angles of a triangle are in the ratio 5:3:7. The triangle is


Options:
A .   An isosceles triangle
B .   An acute angled triangle 
C .   An obtuse angled triangle
D .   A right triangle
Answer: Option B
:
B

The sum of all the three angles of a triangle = 180


Since the angles are in the ratio 5:3:7, let x be a factor such that,


5x+3x+7x =180


15x =180


x =12


Hence the three angles of the triangle are:


5x =5×12 =60


3x =3×12 =36


7x =7×12 =84


Since all the angles in the triangle are less than 90, the triangle is an acute angled triangle.



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