### Educational Resource: Identifying Triangle Types#### Problem Statement:**Determine the type of triangle that is drawn below.**#### Diagram:A triangle labeled $ \triangle HFG $ with the following characteristics:- $ \overline{FH} = \overline{HG} = 7.66 $ units- $ \overline{FG} = 5.5 $ units- Angles: - $ \angle FHG = 42^\circ $ - $ \angle HFG = 69^\circ $ - $ \angle HGF = 69^\circ $#### Multiple-Choice Options:- $ \bigcirc $ Scalene Acute- $ \bigcirc $ Isosceles Acute- $ \bigcirc $ Equilateral- $ \bigcirc $ Scalene Right- $ \bigcirc $ Isosceles Obtuse- $ \bigcirc $ Scalene Obtuse- $ \bigcirc $ Isosceles Right### Explanation of Diagram:The diagram shows a triangle with sides labeled and corresponding angles noted within the triangle. The sides opposite the larger angles are the longest, while the sides opposite the smallest angle is the shortest. The measurements indicate:- Two sides are exactly equal in length (7.66 units each), and one side is shorter (5.5 units).- The angles sum up to 180° confirming it is a valid triangle: - Two angles are identical at 69°, and one angle is 42°, indicating that it is an acute triangle (all angles less than 90°) and since two sides are equal, it is also isosceles.

We are asked to determine the type of the triangle.

Answered: Determine the type of triangle that is…

Math

Geometry

Determine the type of triangle that is drawn below. H 420 7.66 7.66 69° 69° G. F 5.5 O Scalene Acute

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.2: Angles And Their Relationships

Problem 37E: Draw a triangle with three acute angles. Construct angle bisectors for each of the three angles. On...

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Question

### Educational Resource: Identifying Triangle Types

#### Problem Statement:
**Determine the type of triangle that is drawn below.**

#### Diagram:
A triangle labeled $ \triangle HFG $ with the following characteristics:
- $ \overline{FH} = \overline{HG} = 7.66 $ units
- $ \overline{FG} = 5.5 $ units
- Angles:
- $ \angle FHG = 42^\circ $
- $ \angle HFG = 69^\circ $
- $ \angle HGF = 69^\circ $

#### Multiple-Choice Options:
- $ \bigcirc $ Scalene Acute
- $ \bigcirc $ Isosceles Acute
- $ \bigcirc $ Equilateral
- $ \bigcirc $ Scalene Right
- $ \bigcirc $ Isosceles Obtuse
- $ \bigcirc $ Scalene Obtuse
- $ \bigcirc $ Isosceles Right

### Explanation of Diagram:
The diagram shows a triangle with sides labeled and corresponding angles noted within the triangle. The sides opposite the larger angles are the longest, while the sides opposite the smallest angle is the shortest. The measurements indicate:
- Two sides are exactly equal in length (7.66 units each), and one side is shorter (5.5 units).
- The angles sum up to 180° confirming it is a valid triangle:
- Two angles are identical at 69°, and one angle is 42°, indicating that it is an acute triangle (all angles less than 90°) and since two sides are equal, it is also isosceles.

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