Question

Name the type of triangle on the basis of its sides.which base angles are equal and vertex angle is twice the base angle

Answer 1

Answer:

In an isosceles triangle, the vertex angle is twice the each base angle.

Follow me

Answer 2

The triangle is a right-angled triangle.

It is given that two of the base angles are equal. Let both the angles be x.

Another angle is twice the base angle.

Mathematically,

Third angle = 2x.

Sum of all angles of the triangle = 180°

$x + x + 2x = 180$°

     $4x = 180$°

       $x = \frac{180}{4} = 45$

Let the angles of the triangle be ∠A, ∠B and ∠C.

∠A is equal to x, then ∠A = 45°

∠B is equal to x, then ∠B = 45°

∠C is equal to 2x, then ∠C = 90°

One of the angles is 90°.

Therefore, the triangle is a right-angled triangle.