AP Board 7th Class Maths Solutions Chapter 5 Triangle and Its Properties Ex 2

AP State Syllabus AP Board 7th Class Maths Solutions Chapter 5 Triangle and Its Properties Ex 2 Textbook Questions and Answers.

AP State Syllabus 7th Class Maths Solutions 5th Lesson Triangle and Its Properties Exercise 2

Question 1.
In ΔABC, D is the midpoint of \(\overline{\mathrm{BC}}\)
(i) \(\overline{\mathrm{AD}}\) is the ___________________
(ii) \(\overline{\mathrm{AE}}\) is the ____________________
AP Board 7th Class Maths Solutions Chapter 5 Triangle and Its Properties Ex 1 1
Solution:
(i) \(\overline{\mathrm{AD}}\) is the median
(ii) \(\overline{\mathrm{AE}}\) is the Altitude

Question 2.
Name the triangle in which the two altitudes of the triangle are two of its sides.
Solution:
In Right angled triangle, the sides containing the right
angle are two altitudes.
In ΔCAT, ∠A = 90° and CA; AT are altitudes.
AP Board 7th Class Maths Solutions Chapter 5 Triangle and Its Properties Ex 1 2

Question 3.
Does a median always lie in the interior of the triangle?
Solution:
Yes, a median always lie in the interior of the triangle.

Question 4.
Does an altitude always lie in the interior of a triangle’?
Solution:
No, an altitude need not always lie In the interior of a triangle.

Question 5.
(i) Write the side opposite to vertex Y in ΔXYZ.
(ii) Write the angle opposite to side \(\overline{\mathrm{PQ}}\) in ΔPQR.
(iii) Write the vertex opposite to side \(\overline{\mathrm{AC}}\) in ΔABC.
Solution:
i) Side opposite to vertex Y = \(\overline{\mathrm{XZ}}\)
ii) Angle opposite to side \(\overline{\mathrm{PQ}}\) = ∠R
lii) Vertex opposite to side \(\overline{\mathrm{AC}}\) = B