Question

the angels of a triangle are in the ratio 3:4:5.find the smallest angle​

Answer 1

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Given,

Ratio = 3 : 4 : 5

We know that :-

Sum of all angles of triangle = 180°

Assumption,

Angles of triangle be 3p , 4p and 5p

Now,

Sum of angle of triangle = 180°

3p + 4p + 5p = 180

12p = 180

$\rm \: \: \: \: \: \: \: \: \:p=\dfrac{180}{12}$

p = 15

Therefore,

Angles are :-

3p = 3 × 15 = 45°

4p = 4 × 14 = 60°

5p = 5 × 15 = 75°

Smallest angle = 45°

Verification:

Sum of angle of triangle = 180°

45 + 60 + 75 = 180

180 = 180