Math, asked by bharatkpsinghrathore, 7 months ago

if the angle of a triangle are in the ratio 2:3:4 betermine all the angles of a triangle

Answers

Answered by Anonymous
0

Answer:

Hello mate.

Let 'x' be used

2x + 3x + 4x = 180

9x = 180

x = 20

2x = 2× 20 =40

3x = 3× 20 = 60

4x = 4× 20 = 80

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Answered by Anonymous
11

Question

  • if the angle of a triangle are in the ratio 2:3:4 determine all the angles of a triangle \sf

Given

  • Ratio of the all angles of ∆ is 2 : 3 : 4

Solution

  • Sum of all three angles of triangles is 180°

Let,

  • The angles be 2x , 3x and 4x

→ 2x + 3x + 4x = 180°

→ 9x = 180°

→ x = 180°/9

→ x = 20°

Now,

  • Substituting the value of x in ratios

First angle 2x = 2×20 = 40°

Second angles 3x = 3×20 = 60°

Third angles 4x = 4×20 = 80°

Verification

  • Sum of all angles = 180°

→ 40 + 60 + 80 = 180

→ 100 + 80 = 180

→ 180 = 180

Hence

  • Verified
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