Question

What are the angles of the triangle if they are in ratio of 2:4:6.​

Answer 1

Answer:

consider the angles

2x,4x and 6x

sum of all angles of a traingle is 180degree

$\large{</strong><strong>2</strong><strong>x</strong><strong>+</strong><strong>4</strong><strong>x</strong><strong>+</strong><strong>6</strong><strong>x</strong><strong>=</strong><strong>1</strong><strong>8</strong><strong>0</strong><strong>}$

$\large{</strong><strong>1</strong><strong>2</strong><strong>x</strong><strong>=</strong><strong>1</strong><strong>8</strong><strong>0</strong><strong>}$

$\large{</strong><strong>x</strong><strong>=</strong><strong>1</strong><strong>5</strong><strong>}$

ANGLES ARE

$\large{</strong><strong>2</strong><strong>X</strong><strong>=</strong><strong>2</strong><strong>(</strong><strong>1</strong><strong>5</strong><strong>)</strong><strong>=</strong><strong>3</strong><strong>0</strong><strong>d</strong><strong>e</strong><strong>g</strong><strong>r</strong><strong>e</strong><strong>e</strong><strong>}$

$\large{</strong><strong>4</strong><strong>X</strong><strong>=</strong><strong>4</strong><strong>(</strong><strong>1</strong><strong>5</strong><strong>)</strong><strong>=</strong><strong>6</strong><strong>0</strong><strong>d</strong><strong>e</strong><strong>g</strong><strong>r</strong><strong>e</strong><strong>e</strong><strong>}$

$\large{</strong><strong>6</strong><strong>X</strong><strong>=</strong><strong>6</strong><strong>(</strong><strong>1</strong><strong>5</strong><strong>)</strong><strong>=</strong><strong>9</strong><strong>0</strong><strong>d</strong><strong>e</strong><strong>g</strong><strong>r</strong><strong>e</strong><strong>e</strong><strong>}$

Answer 2

$\fbox{\fbox{\large{\blue{\mathfrak{Answer:-}}}}}$

30° , 60° , 90°

$\fbox{\fbox{\large{\red{\mathfrak{Solution:-}}}}}$

Since the angles are in the ratio of 2: 4: 6, it is equivalent to ratio 1: 2: 3.

Let "x°" be the first angles then other angles are (2x°) ,(3x°)

We know that the sum of angles of the triangle is 180°

$= > x + 2x + 3x = {180}$

$= > 6x = 180 \\ = > x = \frac{6}{180} = 30$

Others angles are (2x = 60°) and (3x = 90°).