(a) If angles of a triangle are in the ratio 4 : 5: 6, the greatest angle of a triangle is:- 1 (a) 72° (b) 60° (c) 48° IP 1.0.1 (d) 50° Mh.
answer 72 degrees
Answers
Answered by
1
Answer:
ratio (given) = 4:5:6
so 4x+5x+6x=180
15x= 180
x= 180/15 = 12°
angles are 4(12)=48°
5(12)=60°
6(12)=72°
Therefore the greatest angle is 72° option (A)
Step-by-step explanation:
HOPE THIS HELPS YOU
Answered by
0
Answer:
The greatest angle of a triangle is 72°
Step-by-step explanation:
The sum of the angle of a triangle is 180°
∠A+∠B+∠C=180°
These three angles are in the ratio 4:5:6
The ratio will be 4x:5x:6x
4x+5x+6x=180°
15x=180°
x=180°÷15
x=12
Substitute the value of x in the ratio
4x=4(12)
4x=48
∠A=48°
5x=5(12)
5x=60
∠B=60°
6x=6(12)
6x=72
∠C=72°
∠A+∠B+∠C=180°
48°+60°+72°=180°
108°+72°=180°
180°=180°
LHS = RHS
Hence proved
∠A=48°
∠B=60°
∠C=72°
Comparing three angles ∠C is the greatest angle
The greatest angle of a triangle is 72°
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