Question

the three angles of a triangle are in the ratio 1:2:1. find all the angles of the triangle. classify the triangle in two different ways

Answer 1

let the angles be x 2x and x
now. x+2x+ x= 180
4x= 180
x= 45
hence angles are 90,45 and 45

Answer 2

Heya mate, here is ur answer

Given :

Angles of ∆ are in the ratio 1:2:1

Let the common ratio be x.

So, angle 1 = x

Angle 2=2 x

Angle 3 = x

According to sum angle property of a triangle,
sum of all the angels of a triangle=180°.

So,

x+2x+x=180°

4x=180°

x=180/4

x=45°

so, angle 1 = x

=45 °

angle 2 = 2× 45 °

=90°

angle 3 =x

=45°

$<b><u>Classification of triangle</u></b>$


1) The triangle has one angle as 90° , so, the triangle is a right angled triangle.

2) angle 1 = angle 3 , since two angles are equal, the triangle can also be said as isosceles triangle.

So, the triangle is a right angled isosceles triangle.

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@Laughterqueen

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