Question

edo
14. Three angles of a triangle are in the ratio of 3 : 4:5. Find the measure of each of the three angles.
What type of triangle is it?​

Answer 1

Solution:-

The angle of a triangle are in the ratio of 3:4:5

Now let

→Angle are 3x , 4x , 5x

We know that

→The sum of angles of triangle is 180°

we can write as

→3x + 4x + 5x =180°

→7x + 5x = 180°

→12x = 180°

→x = 180°/12

→x = 15°

Now we get

→First Angle is ⇒ 3x = 3 × 15 = 45°

→Second Angle is⇒ 4x = 4 × 15 = 60°

→Third Angle is ⇒ 5x = 5 × 15 = 75°

We can Clearly  see all angles are different so it is Scalene Triangle

Answer 2

Question:-

• Three angles of a triangle are in the ratio of 3:4:5 . Find the measure of each of the three angles.What type of triangle is it?

Given:-

• Three angles of a triangle are in the ratio of 3 : 4:5.

To Find:-

• Measure of three angles = ?
• types of triangles = ?

Solution:-

Let,

• Three angles of triangle be 3x , 4x and 5x

As we know,

• sum of all angles of triangle is 180 degree.

Hence,

3x + 4x + 5x = 180°

12x = 180°

x = 180/12

x = 15

Therefore,

• The value of x = 15

Hence,

First Angle = 3x

⇒ 3(15)

⇒ 45

Second Angle = 4x

⇒ 4(15)

⇒ 60

Third Angle = 5x

⇒ 5(15)

⇒ 75

Therefore, The three angles of Triangle are 45° , 60° and 75°

As we see that all Triangles are different. So, This is a Scalene Triangle.

━━━━━━━━━━━━━━━━━━━━━━━━━