The ratio between the sides of a triangle are 3:5:7
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Answer:
105 please mark me on branlist please
Step-by-step explanation:
3×5×7= 105
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☆Correct Question
The ratio between the angles of a triangle are 3:5:7. Find the angles.
☆ Solution:
Let the triangle be ∆ABC, let the ratio angles be 3x , 5x and 7x
The value of x is
⟹ 3x + 5x + 7x = 180°
⟹ 8x + 7x = 180°
⟹ 15x = 180
⟹ x = 180/15
⟹ x = 12
The measure of angles are:-
- 3x ( ∠A )
⟹ 3 × 12
⟹ 36°
- 5x ( ∠B )
⟹ 5 × 12
⟹ 60°
- 7x ( ∠C )
⟹ 7 × 12
⟹ 84°
☆ Now, Verification
∠A + ∠B + ∠C = 180°
⟹ 36° + 60° + 84° = 180°
⟹ 60 + 120 = 180
⟹ 180 = 180
L.H.S = R.H.S
Hence, Proved.
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