The angle of a triangle are in the ratio 5 : 3 : 7, the triangle is
Answers
Answer:
Step-by-step explanation:
The angles of a triangle are in the ratio 5:3:7
Let these three angles be 5x°,3x°,7x°
By condition,
5x°+3x°+7x° = 180°
5x+3x+7x = 180
15x = 180
x = 180/15
x = 12
The angles are
(5×12)°=60°
(3×12)° =36°
(7×12)° =84°
After observing the angles we conclude that the triangle is A. an acute angled triangle
SOLUTION
GIVEN
The angle of a triangle are in the ratio 5 : 3 : 7
TO DETERMINE
The type of the triangle
EVALUATION
Here it is given that the angle of a triangle are in the ratio 5 : 3 : 7
Let the angles are 5x , 3x , 7x
Since sum of three angles of a triangle is 180°
So by the given condition
5x + 3x + 7x = 180°
⇒15x = 180°
⇒ x = 12°
So the three angles are 60° , 36° , 84°
Since all the three angles are less then 90∘
Therefore the triangle is an acute angled triangle
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