Observe all the four triangles FAB, EAB, DAB and CAB as shown in Fig. 9.28: All triangles have the same base and the same altitude. Is the given statement true or false?
Solution:
The figure represents four triangles FAB, EAB, DAB and CAB
Given, all triangles have the same base and the same altitude.
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 given statement is true.
✦ Try This: &Find the length of the diagonal of a square of area 50 cm².
Given, the area of square is 50 cm²
We have to find the length of the diagonal of the square.
Area of square = 1/2 × (diagonal)²
50 = 1/2 × (diagonal)²
(diagonal)² = 50(2)
(diagonal)² = 100
Taking square root,
Diagonal = 10 cm
Therefore, the length of the diagonal of the square is 10 cm.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 62
Observe all the four triangles FAB, EAB, DAB and CAB as shown in Fig. 9.28: All triangles have the same base and the same altitude. 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 have the same base and the same altitude” is true
☛ Related Questions:
- Observe all the four triangles FAB, EAB, DAB and CAB as shown in Fig. 9.28: All triangles are congru . . . .
- Observe all the four triangles FAB, EAB, DAB and CAB as shown in Fig. 9.28: All triangles are equal . . . .
- Observe all the four triangles FAB, EAB, DAB and CAB as shown in Fig. 9.28: All triangles may not ha . . . .