Question

The angles of triangle are in the ratio $3:4:5$. Find the angles of triangle.

Answer 1

Step:Finding the angles of a triangle.

Let the measures of angles of triangle are $\text{3x, 4x}$ and $\text{5x}$

We know that, sum of the angles of triangle is $180°$.

Therefore, $3x+4x+5x=180°$

$$\begin{gathered} \Rightarrow 12x=180° \\ \Rightarrow x=\frac{180°}{12} \\ \Rightarrow x=15° \end{gathered}$$

The angles of triangle are as follows:

$$\begin{gathered} \text{3x=3×15°=45°} \\ \text{4x=4×15°=60°} \\ \text{5x=5×15°=75°} \end{gathered}$$

Hence ,the angles of a triangle are $45°,60°,75°$.