Observe all the four triangles FAB, EAB, DAB and CAB as shown in Fig. 9.28: All triangles are equal in area. Is the given statement true or false?
Solution:
The figure represents four triangles FAB, EAB, DAB and CAB
Given, all triangles are equal in area..
We have to determine if the given statement is true or false.
From the figure,
We observe that all the triangles lie on the same base AB
All the vertices lies on the same line
So, the distance between the vertex and base of the triangle will be equal.
This implies the triangles have the same base and the same altitude.
Therefore, the triangles will have equal areas.
✦ Try This: The area of square is 100 cm². Find its perimeter.
Given, the area of square is 100 cm²
We have to find the perimeter of the square.
Area of square = (side)²
(side)² = 100
Taking square root,
side = 10 cm
Perimeter = sum of all sides
= 4(10)
= 40 cm
Therefore, the perimeter is 40 cm.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 64
Observe all the four triangles FAB, EAB, DAB and CAB as shown in Fig. 9.28: All triangles are equal in area. Is the given statement true or false?
Summary:
The given statement, “Observe all the four triangles FAB, EAB, DAB and CAB as shown in Fig. 9.28: All triangles are equal in area” is true
☛ Related Questions:
- Observe all the four triangles FAB, EAB, DAB and CAB as shown in Fig. 9.28: All triangles may not ha . . . .
- In Fig. 9.29 ratio of the area of triangle ABC to the area of triangle ACD is the same as the ratio . . . .
- Triangles having the same base have equal area. Is the given statement true or false