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

Answer:

Let the angles of the triangles be x,2x\:\:and\:\:x

So,  

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

x+2x+x=180^0

4x=180^0

x=45^0

2x=90^0

Hence the angles of the triangles are 45^0,90^0\:\:and\:\:45^0.

Explanation:

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.

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Answer 2

Answer

Let ABC be the D

Let ∠A=x

∠B=2x

∠C=x

∠A+∠B+∠C=180

4x=180

x=45

∠A=45

∠B=90

∠C=45

Since ∠A=∠C

ABC is isosceles D at the root 4

Since ∠B=90

ABC is Right angled at B.