Question

2. If the angles (A, (B and (C of a triangle ABC are in the ratio 1:2:3, find them. What sort of a triangle is this?
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Answer 1

Step-by-step explanation:

Let be 1:2:3 be x, 2x and 3x.

x+2x+3x=180°

6x=180°

x=180°÷6

x=30°

First angle=30°

Second angle=2×30°=60°

Third angle=3×30°=90°

It is a scalene triangle.

Answer 2

Answer:

Let the angles of a triangleA ,B and C = x , 2x and

3x

We know that ,

The sum of all angles of a triangle = 180°

x + 2x + 3x = 180 °

6x = 180°

X = 180°/6

X = 30°

Hence , the angles of a triangle =

A= 30° , B= 2x30° = 60°

, C = 3X30° = 90°

Here , one angle of triangle is 90°So, this triangle is Right-Angled triangle