Question

Here are the measurements for a triangle.

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**.