Question

if the sizes of the angles of a triangle are 3a,4a and 5a find the smallest angle of triangle ?​

Answer 1

Answer:

Let the given angles of the triangle are 3a , 4a and 5a.

We know that the sum of all angles of triangle is 180°.

So, sum of 3a , 4a, and 5a = 180°

= >  3a + 4a + 5a = 180°

= >  12a = 180°

= >  a = 180° / 12

= >  a = 15°

Now,

angles of the given triangle are 3a = 3( 15° ) = 45° , 4a = 4 ( 15° ) = 60° and 5( 15° ) = 75°

The angles of the triangle are 45° , 60° and 75°.

Here the smallest angle is 45° and that is 3a.

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