Question

A triangle has angles in the ratio 2 : 3 : 5.
What type of triangle is it?

Answer 1

Step-by-step explanation:

Let, the common ratio be x

So, angles are 2x,3x,5x

Now,

2x+3x+5x= 180⁰(Angle sum property of triangle)

or, 10x= 180

or, x=18 .............................(I)

Thus, angles are 2×18⁰, 3×18⁰, 5×18⁰

i.e; 36⁰, 54⁰, 90⁰

We see that,

One of the angle is right angle,

Hence, It is a right triangle.

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