Solving Math Grade 7 page 71 Exercise 2 Connecting Knowledge Book: Concentrated Practice has provided detailed and specific solutions to exercises 9.14, 9.15, 9.16, 9.17, 9.18, 9.19. Through this, students can cross-reference, ensure their work, and envision the process of solving exercises.
Explore more excellent Math 7 resources:
- Solving Math Grade 7 Connecting Knowledge Book with Real Life
- Solving Math Grade 7 page 76, 77 Exercise 2 Kite Book: Relationship between angle and opposite side. Triangle inequality
- Solving Math Grade 7 page 72 Exercise 2 Horizon Creative Sky Book: Exercise 6 Properties of triangle medians
Solving Math Grade 7 page 71 Exercise 2, Connecting Knowledge Book with Real Life
Concentrated Practice
+ If M is a point on BC and not coinciding with point B.
Considering AB ⊥ BC. Then: AB is perpendicular, AM is diagonal, hence AB is the shortest. Therefore, AM > AB.
Similar proof applies to point M lying on CD.
2. Solving Exercise 9.15 on Page 71 of Math Textbook for Grade 7
The problem is: Are there any triangles with side lengths of 2.5 cm, 3.4 cm, and 6 cm? Why?
Solution guide: To check if three lengths can form a triangle, we only need to compare if the longest length is less than the sum of the other two lengths or if the shortest length is greater than the difference of the other two lengths.
Answer:
3. Solving Exercise 9.16 on Page 71 of Math Textbook for Grade 7
The problem: Calculate the perimeter of an isosceles triangle given its two sides are 2 cm and 5 cm.
Solution guide: In a triangle, the length of any side is always less than the sum of the lengths of the other two sides.
Answer:
4. Solving Exercise 9.17 on Page 71 of Math Textbook for Grade 7
The problem: The lengths of two sides of a triangle are 7 cm and 2 cm. Calculate the length of the remaining side knowing that its measurement in centimeters is an odd natural number.
5. Solving Exercise 9.18 on Page 71 of Math Textbook for Grade 7
The problem: Given two sides of a triangle with lengths a and b. Based on the triangle inequality, explain why the perimeter of the triangle is greater than 2a and less than 2(a + b).
6. Solving Exercise 9.19 on Page 71 of Math Textbook for Grade 7
Here is the guide to solving math problems for grade 7 on page 71 of workbook 2. Students should refer to the solutions for grade 7 math problems on page 76 of workbook 2 and review the solutions for grade 7 math problems on page 69 of workbook 2 to ensure understanding.
- Solution to grade 7 math problem on page 76 of workbook 2 from Knowledge Connection book - Problem: 34 The concurrency of three medians, three angle bisectors in a triangle
- Solution to grade 7 math problem on page 69 of workbook 2 from Knowledge Connection book - Problem 33: Relationship between the three sides of a triangle
Buzz
