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5. do you remember what makes each of the following triangles spe a. is…

Question

  1. do you remember what makes each of the following triangles spe

a. isosceles triangle
b. equilateral triangle
c. scalene triangle
d. right triangle
e. acute triangle
f. obtuse triangle

Explanation:

Brief Explanations
  • An isosceles triangle has at least two equal sides and two equal angles.
  • An equilateral triangle has all three sides equal and all three angles equal (each \(60^{\circ}\)).
  • A scalene triangle has all three sides of different lengths and all three angles of different measures.
  • A right triangle has one angle equal to \(90^{\circ}\).
  • An acute triangle has all three angles less than \(90^{\circ}\).
  • An obtuse triangle has one angle greater than \(90^{\circ}\) and less than \(180^{\circ}\).

Answer:

a. At least two equal sides and two equal angles.
b. All three sides equal and all three angles equal (\(60^{\circ}\) each).
c. All three sides of different lengths and all three angles of different measures.
d. One angle equal to \(90^{\circ}\).
e. All three angles less than \(90^{\circ}\).
f. One angle greater than \(90^{\circ}\) and less than \(180^{\circ}\).