If the measure of three angles of a triangle are in the ratio2: 3:5, then the triangle is:
दि किसी त्रिभुज के तीन कोणों का माप 2:3:6 अनुपात में है तो वह त्रिभुज है

Options

A. अधिकोणीय
B. समद्विबाहु
C. समकोणीय
D. समबाहु

Explanation

To solve the problem of finding the type of triangle based on the ratio of its angles, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio of Angles**:
The angles of the triangle are given in the ratio 2:3:5.

2. **Assign Variables**:
Let the angles be represented as:
- First angle = 2k
- Second angle = 3k
- Third angle = 5k

3. **Use the Triangle Angle Sum Property**:
The sum of the angles in a triangle is always 180 degrees. Therefore, we can write the equation:
\[ 2k + 3k + 5k = 180 \]

4. **Simplify the Equation**:
Combine the terms on the left side:
\[ 10k = 180 \]

5. **Solve for k**:
Divide both sides by 10:
\[ k = \frac{180}{10} = 18 \]

6. **Calculate Each Angle**:
Now, substitute the value of k back into the expressions for each angle:
- First angle = \(2k = 2 \times 18 = 36\) degrees
- Second angle = \(3k = 3 \times 18 = 54\) degrees
- Third angle = \(5k = 5 \times 18 = 90\) degrees

7. **Identify the Type of Triangle**:
Since one of the angles is 90 degrees, the triangle is a right-angled triangle.

### Conclusion:
The triangle with angles in the ratio 2:3:5 is a right-angled triangle.

---