Question

Two angles of a triangle are in the ratio 1:2.If the sum of these angles to the third angle, Find the angle of the triangle. what type of triangle is it? also classify the triangle as acute, obtuse, right ,scalene, isosceles or equilateral
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Answer 1

Answer:

Let the 1st angle be x

Then,

2nd angle=2x(As they are in ratio1:2)

3rd angle=x+2x=3x

Then,

x+2x+3x=180

6x=180

x=180/6

x=30

Then,

1st angle=30 deg.

2nd angle =2×30=60 deg

3rd angle =3×30=90deg.

There are 3 different angles due to this this is scalene triangle

Answer 2

Hi,

Here is your answer

Given:

Ratio of angle1 to angle2=1:2

Sum of the two angles =third angle

To Find:

The angles of the triangle and type of the triangle

Solution:

Let us take the first angle as x and second angle as 2x

Therefore the third angle=x+2x=3x

According to angle sum property, the sum of all three angles=180°

x+2x+3x=180°

6x=180°

x=30°

Therefore

First angle=x=30°

Second angle=2x=2×30=60°

Third angle=3x=3×30=90°

Since one of the angles of the triangle is a right angle, it is a right angled triangle.

Also since none of the angles are equal, it is a scalene triangle.

Notes:

• In an equilateral triangle, all sides are equal and all angles are 60°
• In an isosceles triangle, two of the sides are equal and base angles are equal.
• In a scalene triangle, none of the sides and angles are equal.

Hope this helps you.