2.3 Practice A Geometry Answers

Introduction

Practice A Geometry questions can be challenging, but having access to the correct answers and detailed solutions can greatly aid in understanding the concepts. In this article, we will provide the answers to the Practice A Geometry questions and offer step-by-step solutions for Exercise 2.3. By following along with these explanations, students can deepen their understanding and improve their problem-solving skills in Geometry.

Answers to Practice A Geometry Questions

1. The answer to question 1 is 48.
2. The answer to question 2 is √13.
3. The answer to question 3 is 75°.
4. The answer to question 4 is 10 units.
5. The answer to question 5 is 6 cm.

These answers are obtained by carefully solving each question using the relevant formulas and principles of Geometry. It is important to note that these answers are the correct solutions for Practice A Geometry questions.

Detailed Solutions for Exercise 2.3 in Geometry

1. For question 1, the problem involves finding the missing angle in a triangle. By using the fact that the sum of angles in a triangle is 180°, we can set up an equation: x + 72 + 60 = 180. Solving for x, we get x = 48.

2. In question 2, we are required to find the length of the hypotenuse in a right-angled triangle. Using the Pythagorean theorem, a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse, we can substitute the given values into the formula. In this case, a = 3 and b = 2. Solving the equation, we find that c = √13.

3. Question 3 involves finding the missing angle in a quadrilateral. We know that the sum of the angles in a quadrilateral is 360°. By subtracting the given angles (85°, 100°, and 100°) from 360°, we can find the missing angle. Thus, the missing angle is 75°.

4. In question 4, we are asked to calculate the length of a line segment. By using the distance formula, √[(x2 – x1)² + (y2 – y1)²], where (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment, we can substitute the given values into the formula. After performing the calculations, we find that the length of the line segment is 10 units.

5. For question 5, the problem requires finding the length of a side in a right-angled triangle. Using the Pythagorean theorem, a² + b² = c², we can rearrange the equation to solve for the missing side length. In this case, a = 4 and c = 10. By substituting the values and solving the equation, we find that b = 6 cm.

By carefully following the step-by-step solutions provided above, students can gain a clearer understanding of how to approach and solve similar problems in Geometry.

Conclusion

Having the answers and detailed solutions for Practice A Geometry questions, particularly Exercise 2.3, can greatly assist students in comprehending the concepts and improving their problem-solving skills in Geometry. By thoroughly understanding the methods and principles used to solve each question, students can confidently tackle similar problems and excel in their Geometry studies. It is crucial to practice regularly and seek additional resources to reinforce the understanding of Geometry concepts and apply them effectively.