Here are the measurements for a triangle.

Question

What kind of triangle will this be?

Sides Angles
4
cm 35∘

6
cm 110∘

4
cm 35∘

Responses

an obtuse scalene triangle
an obtuse scalene triangle

an acute equilateral triangle
an acute equilateral triangle

an obtuse isosceles triangle
an obtuse isosceles triangle

an acute isosceles triangle

Answer 1

To determine the type of triangle based on the given measurements, let's analyze the sides and angles provided.

1. Sides: You have the following sides:

   • 4 cm
   • 6 cm
   • 4 cm

   Since two sides (4 cm and 4 cm) are equal, this triangle is at least an isosceles triangle.

2. Angles: The angles provided are:

   • 35°
   • 110°
   • 35°

   The presence of a 110° angle indicates that one angle is larger than 90°. Therefore, the triangle is classified as an obtuse triangle.

Now, summing it all up:

• Since the triangle has two equal sides (4 cm and 4 cm) and one angle greater than 90° (the 110°), it is classified as an obtuse isosceles triangle.

The answer is: an obtuse isosceles triangle.