The angles of a triangle are in the ratio 1:1:2. What is the largest angle
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Answered by
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Angles of triangles are 30°, 60° and 90 ° respectively. Then , the largest angle of triangle is 90°.
Step-by-step explanation:
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Answer:
If 1:1:2 is the ratio of angles of a triangle, then its largest angle is 90°
Step-by-step explanation:
Given
Ratio of three angles of the triangle = 1 : 1 : 2
That is if one angle is x, then others are x and 2x respectively.
The sum of angles of the triangle is 180°
That is,
x + x + 2x = 180°
4x = 180°
x = 180/4 = 45°
So, the angles of the triangle are
x = 45°
x = 45°
2x = 45*2 = 90°
Therefore, the angles are 45°, 45° and 90°
So, the largest angel is 90°
If 1:1:2 is the ratio of angles of a triangle, then its largest angle is 90°
Step-by-step explanation:
Given
Ratio of three angles of the triangle = 1 : 1 : 2
That is if one angle is x, then others are x and 2x respectively.
The sum of angles of the triangle is 180°
That is,
x + x + 2x = 180°
4x = 180°
x = 180/4 = 45°
So, the angles of the triangle are
x = 45°
x = 45°
2x = 45*2 = 90°
Therefore, the angles are 45°, 45° and 90°
So, the largest angel is 90°
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