Question

15.The ratio of the measures of 1
the three angles of a triangle is
2:3:4. The measure of the
largest angle is​

Answer 1

Answer:

Step-by-step explanation:

Ratio = 2:3:4

I will be finding all the angles

A total triangle angle is 180 degree, hence we will:

2x+3x+4x = 180

9x = 180

180/9 = x

x = 20

First angle = 20*2 = 40

Second Angle = 20*3 = 60

Third(the largest) angle = 20*4 = 80

Answer 2

Answer:

Largest angle = 80°

Given:-

The ratio of the sides of the triangle is 2 : 3 : 4.

To find :-

The largest angle.

Solution :-

Let the angle in ratio be 2x , 3x and 4x

A/Q.

The sum of all angles of a triangle is 180°.

→ 2x + 3x + 4x = 180° (Angle sum property)

→9x = 180

→ x = 180/ 9

→ x = 20°

Put the value of x,

2x = 3 × 20 = 40°

3x = 3 × 20 = 60°

4x = 4 × 20 = 80°

hence, the largest angle is 80°.