
Title: Types of Triangles
Question 1:
Which type of triangle has all three sides of equal length?
a) Equilateral triangle
b) Isosceles triangle
c) Scalene triangle
d) Right triangle
Answer: a) Equilateral triangle
Explanation: An equilateral triangle is a type of triangle where all three sides are of equal length. It is the only type of triangle with this property.
Question 2:
In an isosceles triangle, which of the following is true?
a) All three sides are of equal length.
b) Two sides are of equal length.
c) All three angles are of equal measure.
d) Two angles are of equal measure.
Answer: b) Two sides are of equal length.
Explanation: An isosceles triangle is a type of triangle that has two sides of equal length. The third side is of a different length. The angles opposite the equal sides are also equal.
Question 3:
Which type of triangle has all three sides of different lengths?
a) Equilateral triangle
b) Isosceles triangle
c) Scalene triangle
d) Right triangle
Answer: c) Scalene triangle
Explanation: A scalene triangle is a type of triangle where all three sides are of different lengths. This type of triangle does not have any sides or angles that are equal.
Question 4:
In a right triangle, which of the following is true?
a) All three sides are of equal length.
b) Two sides are of equal length.
c) All three angles are of equal measure.
d) One angle is a right angle.
Answer: d) One angle is a right angle.
Explanation: A right triangle is a type of triangle that has one angle measuring 90 degrees, which is called a right angle. The other two angles are acute angles, measuring less than 90 degrees.
Question 5:
Imagine you are building a roof for a house. Which type of triangle would be the most suitable for the roof design, and why?
Answer: An isosceles triangle would be the most suitable for the roof design.
Explanation: An isosceles triangle has two sides of equal length, which would help create a symmetrical and stable roof design. It would ensure that both sides of the roof are equal in length, providing balance and support. Additionally, the angles opposite the equal sides would also be equal, contributing to the overall stability of the roof structure.
Remember, practice makes perfect! Keep exploring the properties and characteristics of different types of triangles to strengthen your understanding.