If the angles of a triangle are in the ratio 3:4:5, then find the largest angle.
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Step-by-step explanation:
Given:-
If the angles of a triangle are in the ratio 3:4:5, then find the largest angle.
Solution:-
=> Angles are in the ratio of 3:4:5
=> let the angle be 3x,4x,5x
=> .°. 3x+4x+5x = 180............sum of the angle of triangle are 180°
=>.°. 12x = 180°
=> .°.x= 15
Now, multiple each angle by x value.
∠A =3×x
∠A=3×15
∠A= 45°
∠B=4×x
∠B=4×15
∠B=60°
∠C=5×x
∠C=5×15
∠C= 75°
Hence, the angle are 45°,60°,75°.
So the largest angle is ∠C 75°.
This is your answer.
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