Three angles of a triangle are in the ratio 1:2:1. find all the angles of the triangles. classify the triangle in two different ways
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Step-by-step explanation:
1x + 2x + 1x = 180
4x = 180
x = 180/4
x = 45
the angles are 1(45) , 2(45) & 1(45)
= 45° , 90° & 45°
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❍ Let the angles of the traingle be x, 2x and x respectively.
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Angle Sum Property of Triangle is basically, sum of all angles of the triangle is 180°.
Therefore,
Hence,
First angle, x = 45°
Second angle, x = 45°
Third angle, 2x = 2(45)° = 90°
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C L A S S I F Y I N G :
Here, we can see that Triangle has two equal angles, (45° and 45°). Therefore, the triangle is an isosceles triangle. (Isosceles triangle has two equal angles).
And, In the given triangle one angle is equal to 90° also. Therefore, the triangle is right – angled triangle.
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