Question

15) The angles of a triangle are in the ratio 1 :2:3. find the angle of the triangle



please help me please ​

Answer 1

☆ Solution ☆

Given :-

• The angles of a triangle are in the ratio 1 : 2 : 3.

To Find :-

• The angle of the triangle.

Step-by-Step-Explaination :-

As we know that :-

The sum of all angles of a triangle = 180°

Let the ratios be 1x , 2x and 3x

According to the question

1x + 2x + 3x = 180°

6x = 180°

x = 180/6

x = 30°

So,

1x = 1 × 30 = 30°

2x = 2 × 30 = 60°

3x = 3 × 30 = 90°

Hence Solved !

Answer 2

${\huge{\rm{\underline{\underline{Question:-}}}}}$

Q) The angles of a triangle are in the ratio 1:2:3 . Find the angles of the triangle .

${\huge{\rm{\underbrace{Answer\checkmark}}}}$

★ Given :

• Ratio of angles = 1:2:3

★ To Find :

• Angles of the triangle .

★ Solution :

Let the ratio be 1x , 2x & 3x

It means -

• First Angle = x°
• Second Angle = 2x°
• Third Angle = 3x°

According to the Angle Sum Property ,

The sum of all 3 angles of a triangle is 180°

So ,

$\sf \: first \: angle + second \: angle + third \: angle = 180 \degree$

$\mapsto \sf \: x + 2x + 3x = 180$

$\mapsto \rm \: \cancel6x = \cancel{180}$

$\mapsto \underline{\boxed{ \rm \: x = 30 \: }}$

So ,

$\leadsto \pink{\underline{\boxed{ \rm \: first \: angle = x \degree = 30 \degree \: }}}$

$\leadsto \purple{ \underline{ \boxed{ \rm \: second \: angle = 2x \degree = 60 \degree \: }}}$

$\leadsto \blue{ \underline{ \boxed{ \rm \: third \: angle = 3x \degree = 90 \degree \: }}}$

_________________________

${\large{\underline{\rm{\star\;Know\;More}}}}$

• A triangle is a 3 sided figure
• It has 3 angles .
• It has 3 edges and 3 vertex .
• The sum of the 3 angles in the triangle is 180° .
• The sum of length of two sides in a triangle is always greater than the third side .
• Some types of triangles : Scalene , Obtuse , Right angled .