Question

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

Answer 1

Answer:

Step-by-step explanation:

Let the angles be 1x, 2x,1 x.

∠A + ∠B + ∠C = 180° (Sum of all angles a triangle in 180°)

1x + 2x + 1x = 180°

4x = 180°

x =  180/4

x = 45°

Measure of ∠A = 45°

Measure of ∠B = 2 × 45° = 90°

Measure of ∠C = 45°

The triangle is isosceles right angled triangle.

Answer 2

Answer:

Hi!

45, 90 and 45

it is a right angled isosceles triangle.

Step-by-step explanation:

assume that the angles are x, 2x and x degrees.

you know that all three angles in a triangle should add up to 180 degrees.

so, x + 2x + x = 180

so 4x = 180

so x = 45 degrees.

since the angles were x, 2x and x

they are 45, 90 and 45 degrees.

since there is a 90 degree angle, the triangle is right angled.

since two of its angles are equal, two of its sides must also be equal so it is isosceles.

Hope it helped!