Question

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

Answer 1

Step-by-step explanation:

scalene as angles are unequal so sides are unequal.

3x+4x+5x=180

x=15

so angles are 45,60,75

Answer 2

Given :

⬤ Three angles of triangle are in the Ratio 3:4:5 .

To Find :

⬤ Measure of three angles .

⬤ Type of Triangle .

Solution :

Let :

• Three Angles of Triangle be 3x , 4x and 5x .

As we know that , Sum of all Angles of Triangle is 180 degree . Hence ,

$\sf{3x+4x+5x=180^{\circ}}$

12x = 180°

x = 180/12

x = 15

Therefore , The Value of x is 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 can see that , All angles of Triangle are Different . So , This is a Scalene Triangle .