Question

The angles of a triangle are in the ratio 3:4:5. The smallest angle of the triangle is​

Answer 1

Step-by-step explanation:

Angles of the triangle are in the ratio 3:4:5

Let the angles be 3x,4x and 5x

Sum of the angles of the triangle =180

Thus, 3x+4x+5x=180

12x=180

x=15

Thus, the angles are 45

o

,60

o

and 75

o

.

Answer 2

Answer:

Smallest angle of triangle is $45$°  .

Step-by-step explanation:

To find : smallest angle of the triangle

Given : the angles of a triangle are in the ratio $3:4:5$ .

Solution :

• As per given data we know that the angles of a triangle are in the ratio $3:4:5$ .
• Let , $3x , 4x , 5x$ be the angles of triangle .
• We know that sum of measurement of all three angles of triangle is

       $180$ °

• Therefore , we have , $3x + 4x + 5x = 180$
• On solving we get  value of $x$ .

        $3x + 4x + 5x = 180 \\ 12x = 180 \\ x= \frac{180}{12} \\ x = 15$    

• Now , substituting the value of $x$ in $3x , 4x , 5x$ to find the angles .

• $3x = 3\times 15=$ $45$°
• $4x =4\times 15 =$ $60$°
• $5x = 5\times 15 = 75$°