In the triangle abc, if side a is 3, side b is 4 and side c is 5, what is the cosine of the smallest angle?

Cosine of the smallest angle is 4/5.

Step-by-step explanation:

It is given that in the triangle ABC,  side a is 3, side b is 4 and side c is 5.

Sum of squares of two smaller sides.

Sum of squares of largest sides.

Since sum of squares of two smaller sides is equal to sum of squares of largest sides, therefore triangle ABC is a right angle triangle.

Hypotenuse = 5 units.

In a right angle triangle, the smallest angle has shortest opposite side.

Shortest side is a=3 It means angle A is smallest.

Therefore, the cosine of the smallest angle is 4/5.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2