Question

three angles of a triangle are in the ratio of 3 ratio 4 ratio 5. find the measure of each of the three angles. what type of triangle is it ?


Explain it very properly and carefully​

Answer 1

Answer:

Answer is x = 15 degrees

Step-by-step explanation:

Three angles are in the ratio 3 : 4 : 5. Let the angles be 3x , 4x and 5x.

3x + 4x + 5x = 180 degrees (Angle Sum Property)

12x = 180 degrees

x = 180 / 12 degrees = 15 degrees

x = 15 degrees, 3x = 45 degrees, 4x = 60 degrees, 5x = 75 degrees

45 + 60 + 75 = 180 degrees (Verification)

Not exactly sure what you meant by what triangle

But you can say that this is a scalene triangle due to the fact that

Opposite sides are equal if their corresponding angles are equal

Since none of the angles are equal, you can say that this is a scalene triangle

Answer 2

Answer:

let the three angles of the triangle be 3x ,4x and 5x.

So, 3x + 4x + 5x = 180°. ..........(sum of all the sides of a triangle equals to 180°.

Step-by-step explanation:

3x+ 4x+ 5x = 180°

12x = 180°

x= 180/12

x= 15° ........(1)

from( 1 )

3x= 3× 15= 45°

4x= 4× 15= 60°

5x= 5× 15= 75°

The three angles are 45°, 60° and 75°