Question

43.The three angles of a triangle are in the ratio 1:2:1.
a) Find all the angles of the triangle.
b) Classify the triangle in two different ways

Answer 1

Let the angles of the triangles be x,2x,x

So,

As we know the sum of internal angles of a triangle is 180. so,

x+2x+x=180°

4x=180°

x=45°

2x=90°

Hence the angles of the triangles are 45° 90° 45°

On the Basis of sides, the triangle is isosceles triangle as two sides of the triangle are equal.

On the Basis of angle, the triangle is Right-Angled Triangle as it has one angle equal to 90 degrees.

Answer 2

This is the best answer for part (a) of your question