Page 107 - Start Up Mathematics_6

Solution: ABCDEF is a hexagon [Fig. (i)]. ABDE is a rectangle [Fig. (ii)].

Yes, ABCF is a trapezium [Fig. (iii)]. Its an isosceles trapezium as its non-parallel
sides are equal.
E D E D E D

F C F C F C

A B A B A B P
(i) (ii) (iii)
Example 25: Draw a rough sketch of a regular octagon. Draw any three
diagonals to form a triangle. Identify the type of the triangle
you have drawn. Q R
Solution: ∆ PQR is an isosceles triangle.

EXERCISE 5.3
1. In the following figures, find the length of the sides of the triangles. Now classify these
triangles on the basis of their sides.

(a) (b) (c) (d)

2. In the following figures, find the angles of each of the triangles. Now classify these
triangles on the basis of their angles.

(a) (b) (c)
3. What is the difference between a triangle and a triangular region?
4. Fill in the blanks to make the following statements meaningful:
(a) A triangle has ____________ sides, ____________ vertices and ____________ angles.

(b) A triangle has ____________ parts.
(c) A triangle having one of its angles more than a right angle is known as an
_______________ triangle.
(d) A triangle having all its angles less than a right angle is known as an ________________
triangle.
(e) A triangle having one of its angles as right angle is known as a _______________
triangle.

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