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 ____________________

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.

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