1. Write the six elements (i.e., the 3 sides and the 3 angles) of △ABC.
Sol: Three sides of △ABC are AB,BC,AC
Three angles of △ABC are ∠BAC, ∠ABC, ∠BCA (or) ∠A, ∠B, ∠C
2. Write the:
(i) Side opposite to the vertex Q of △PQR
Sol: PR
(i) Angle opposite to the side LM of △LMN
Sol: ∠N
(iil) Vertex opposite to the side RT of △RST
Sol: S
3. Look at Fig 6.2 and classify each of the triangles according to its
(a) Sides
(b) Angles
1. How many medians can a triangle have?
Solution: 3
2. Does a median lie wholly in the interior of the triangle? (Ifyou think that this is not true, draw a figure to show such a case).
Solution: Yes, median lie wholly in the interior of the triangle
3. How many altitudes can a triangle have?
Sol: 3
2. Draw rough sketches of altitudes from A to BC for the following triangles (Fig 6.6):
3. Will an altitude always lie in the interior ofa triangle? If you think that this need not be true, draw a rough sketch to show such a case.
Sol: No, an altitude may lie outside of triangle also.
4. Can you think ofa triangle in which two altitudes of the triangle are two of its sides?
Sol: Yes, in right angled triangle two altitudes of the triangle are two of its sides.
5. Can the altitude and median be same for a triangle?
Sol: Yes, in an equilateral triangle both the median and the altitude are the same.
In an isosceles triangle one altitude and median be same
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