Question

The internal angles of a triangle are in the ratio 2:3:5. What type of triangle is it?

Answer 1

Answer :

• It is a Scalene traingle because value of all angles of Scalene traingle are different.

Given :

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

To find :

• Type of triangle =?

Step-by-step explanation:

Let, The internal angles of a triangle are in the ratio be 2x, 3x and 5x.

We know that,

Sum of all angles of traingle = 180°

•°• ∠A + ∠B + ∠C = 180°

Substituting the values, we get,

2x + 3x + 5x = 180

10x = 180

x = 180/10

x = 18.

Hence,

∠A = 2x → 2 × 18 = 36°

∠B = 3x → 3 × 18 = 54°

∠C = 5x → 5 × 18 = 85°

We can see that value of all angles of traingle are coming differently.

•°• It is a Scalene traingle because value of all angles of Scalene traingle are different.

Answer 2

$\huge \mathtt{ \fbox{Solution :)}}$

Let ,

• The angles of triangle be 2x , 3x and 5x

We know that , the sum of all angles of triangle is 180

Thus ,

2x + 3x + 5x = 180

10x = 180

x = 18

Therefore , the angles of triangle are 36 , 54 and 90

Since , all the angles of scalene triangle is different

Hence , the given triangle is scalene triangle

______________ Keep Smiling ☺