Question

11) The three angles of the triangle are in the ratio 2:3:5. Find the measure of
each angle. Classify the type of triangle.​

Answer 1

Step-by-step explanation:

40 ,45 ,95 are measures

Answer 2

☆ Solution ☆

Given :-

• The three angles of the triangle are in the ratio 2:3:5.

To Find :-

• Find the measure of each angle.
• Classify the type of triangle.

Step-by-Step-Explaination :-

Let the angle be x

Therefore,

The ratio will become = 2x, 3x and 5x

Now,

As we know that :-

Sum of all angles = 180°

Therefore,

2x + 3x + 5x = 180°

10x = 180°

x = $\frac{180}{10}$

x = 18°

So,

Measures of each angle

$2x = 18 \times 2 = 36°$

$3x = 18 \times 3 = 54°$

$5x = 18 \times 5 = 90°$

Now,

Types of triangle

• It is Right angled triangle.