Multiple Choice
Which of the following conditions must be true for two right triangles to be congruent by the Hypotenuse-Leg () theorem?
7. Non-Right Triangles
Law of Sines
Multiple Choice
Given a triangle with side lengths in., in., and in., which classification best represents this triangle?
A
Right triangle
B
Scalene triangle
C
Equilateral triangle
D
Isosceles triangle
Verified step by step guidance1
Step 1: Identify the given side lengths of the triangle. Here, all three sides are 10 inches each.
Step 2: Recall the definitions of triangle classifications based on side lengths: an equilateral triangle has all three sides equal, an isosceles triangle has exactly two sides equal, and a scalene triangle has all sides of different lengths.
Step 3: Compare the given side lengths to these definitions. Since all three sides are equal (10 in., 10 in., 10 in.), the triangle fits the definition of an equilateral triangle.
Step 4: Understand that an equilateral triangle is also equiangular, meaning all its interior angles are equal, each measuring 60 degrees.
Step 5: Conclude that the best classification for this triangle, based on the side lengths, is an equilateral triangle.
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