Question

The three angles of a triangle are in the ratio 1:2:1. Find all the
Find all the angles of
angles of a triangle.​

Answer 1

Answer:

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

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

4

.

Since ∠B=90

ABC is Right angled at B.

Answer 2

Answer:

let the angles be x,2x,x

Step-by-step explanation:

sum of all the sides of a triangle = 180°

so, x+2x+x = 180°

4x = 180°

x = 180/4

x = 45°

2x = 45 × 2 = 90°