Question

The three angels of a triangle are in the ratio 1 : 2 : 1. Find all the angles of the triangle.

PLZ ANSWER

Answer 1

Answer:

let the angles of triangle be 1x , 2x and 3x

now , as we know that sum of all angles of a triangle is 180°

then,

1x + 2x + 1x = 180°

4x = 180°

x = 180°/4

x = 45°

1x = 1×45° = 45°

2x = 2×45° = 90°

1x = 1×45 = 45°

All the angles of a triangle are 45° , 90° and 45°

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Answer 2

Answer:

Let the three angles of the given triangle be a,2a and a respectively.

We already know that the sum of three angles of a triangle is 180°.

Now; According to the question--

=> a+2a+a = 180

=> a+2a+a = 180=> 4a = 180

=> a+2a+a = 180=> 4a = 180=> a = 180/4

=> a+2a+a = 180=> 4a = 180=> a = 180/4=> a = 45°

=> a+2a+a = 180=> 4a = 180=> a = 180/4=> a = 45°Now; if a = 45°,then-

=> a+2a+a = 180=> 4a = 180=> a = 180/4=> a = 45°Now; if a = 45°,then-2a = 2×45°

=> a+2a+a = 180=> 4a = 180=> a = 180/4=> a = 45°Now; if a = 45°,then-2a = 2×45° = 90°.

Hence, the three angles of the given triangle are 45°, 90° and 45°.