Triangles and Its Properties - Page Number 123 Problem Solutions

Triangles are one of the fundamental geometrical shapes, and they have several interesting properties. Let's explore some problem solutions related to triangles on page number 123.

1. Problem: Find the value of the unknown angle in the given triangle.

Solution: To find the value of the unknown angle, we can use the properties of triangles.

- Identify the known angles: Look for any angles that are already given in the problem.
- Apply the angle sum property: The sum of all angles in a triangle is always 180 degrees. Use this property to find the value of the unknown angle.

2. Problem: Determine the type of triangle based on its side lengths.

Solution: Triangles can be classified based on their side lengths into three types: scalene, isosceles, and equilateral.

- Scalene triangle: All three sides have different lengths.
- Isosceles triangle: Two sides have the same length, while the third side is different.
- Equilateral triangle: All three sides have the same length.

Identify the given side lengths and compare them to determine the type of triangle.

3. Problem: Determine the type of triangle based on its angles.

Solution: Triangles can also be classified based on their angles into three types: acute, obtuse, and right triangles.

- Acute triangle: All angles are less than 90 degrees.
- Obtuse triangle: One angle is greater than 90 degrees.
- Right triangle: One angle is exactly 90 degrees.

Identify the given angle measures and compare them to determine the type of triangle.

In conclusion, solving problems related to triangles involves using their properties such as angle sum, side lengths, and angle measures. By applying these properties, we can find missing angles, determine the type of triangle based on sides or angles, and solve various other triangle-related problems. Remember to carefully read the problem, identify the given information, and apply the relevant triangle properties to find the solution.