Solving Grade 7 Mathematics, pages 46 and 47 Workbook Volume 2 Creative Horizon is a guide to solving exercises 1 through 6 of the Angles and Sides of a Triangle. It is designed to help students strengthen their understanding and solve homework exercises easily, quickly, and accurately.
Refer to other excellent Mathematics learning materials: - Solving Grade 7 Mathematics Creative Horizon book - Solving Grade 7 Mathematics, pages 72 and 73 Workbook Volume 2 Kite - Exercise 1. Sum of angles in a triangle - Solving Grade 7 Mathematics, page 62 Workbook Volume 2 Connect Knowledge - Exercise 31: Relationship between angle and opposite side in a triangle
Solving Grade 7 Mathematics, pages 46 and 47 Workbook Volume 2 Creative Horizon
Angles and sides of a triangle
1. Solve Exercise 1 Page 46 Mathematics Grade 7 Workbook
Problem: Find the measures of the unknown angles of the triangles in Figure 5.
Solution Guide:
The total measure of three angles of a triangle equals 180°.
Answer:
Applying the theorem about the total measure of three angles of a triangle, we have:
2. Solve Exercise 2 Page 47 Mathematics Grade 7 Workbook
Problem: Calculate the measure of angle x in Figure 6.
Solution Guide:
The total measure of three angles of a triangle equals 180°.
Answer:
a) Let H be the foot of the perpendicular line from M to NL.
Applying the theorem about the total measure of three angles of a triangle to triangle NML, we have:
3. Solve Exercise 3 Page 47 SGK Mathematics Grade 7
Solution Guide:
The total measure of three angles of a triangle is 180 degrees.
Answer:
We divide quadrilateral ABCD into two triangles as follows:
4. Solve Exercise 4 Page 47 SGK Mathematics Grade 7
Problem: Among the following sets of three line segments, which set could be the lengths of the three sides of a triangle?
Solution Guide:
In a triangle, the sum of the lengths of any two sides is always greater than the length of the remaining side.
Answer:
We have:
Thus, only the set 4 cm, 5 cm, 7 cm can be the lengths of the three sides of a triangle.
Problem: Given triangle ABC with BC = 1cm, AB = 4cm. Find the length of side AC (in cm units), knowing that this length is an integer.
Solution Guide:
Solution Guide:
In a triangle, the length of one side is always greater than the difference and less than the sum of the lengths of the other two sides.
Answer:
Considering triangle ABC, we have:
6. Solve Exercise 6 Page 47 Mathematics Grade 7 Workbook
Problem: In a school, three areas A, B, C are marked as the vertices of a triangle, knowing that the distances AC = 15m, AB = 45m.
a) If a wifi transmitter with a 30m operating radius is placed in area C, will area B receive the signal? Why?
b) Same question as above with a wifi transmitter with a 60m operating radius.
Instructions:
In a triangle, the length of one side is always greater than the difference and less than the sum of the lengths of the other two sides.
Answer:
Considering triangle ABC, we have:
This is the guide to solve exercises on pages 46 and 47 of Grade 7 Mathematics Workbook Volume 2. Students, refer to the solutions for exercises on pages 57, 58, 62, and 63 of Workbook Volume 2 to prepare for the new lesson.
- Solve Grade 7 Mathematics pages 57, 58 Workbook Volume 2 Creative Horizon - Exercise 2: Congruent triangles
- Solve Grade 7 Mathematics pages 62, 63 Workbook Volume 2 Creative Horizon - Exercise 3: Isosceles triangles
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