contestada

Is △XYZ equilateral, isosceles, or neither? Explain your reasoning. (Make sure to include how/why you know which of these categories the triangle falls into!)

Is XYZ equilateral isosceles or neither Explain your reasoning Make sure to include howwhy you know which of these categories the triangle falls into class=

Respuesta :

sqdancefan

Answer:

  equilateral

Step-by-step explanation:

You want to know if the given triangle with angles marked (2x)°, (2x)°, and (3x-30)° is equilateral, isosceles, or neither.

Angles

On the face of it, the triangle is at least isosceles, as two angles are marked identically as (2x)°.

When we apply the angle sum theorem, we find ...

  (2x)° +(2x)° +(3x -30)° = 180°

  7x -30 = 180

  7x = 210

  x = 30

  2x = 2(30) = 60

  3x -30 = 3(30) -30 = 60

All of the angles have the same measure, 60°, so the triangle is equilateral.

suspho9

Answer:

3 equal angles = equilateral triangle

Step-by-step explanation:

  • the sum of the interior angles in a triangle is 180°

2x + 2x + 3x - 30 = 180

7x = 210

x = 210 : 7

x = 30

  • find angle Y & Z

2 x 30 = 60°

  • find angle x

3 x 30 - 30 = 60

3 equal angles = equilateral triangle

Otras preguntas