ASSIGNMENT (Heron's formula)

ASSIGNMENT

CLASS-IX                                                                                                                                             TOPIC-Heron’s formula

TYPE I: To find the area of triangle using Heron’s formula-

Q1. Find the area of triangle whose sides are 42 cm, 34 cm & 20 cm in length. Hence, find the height corresponding to the longest side?

Q2. Find the area of triangle two sides of which are 18 cm & 10 cm and the perimeter is 42 cm.

Q3.The perimeter of a triangle is 540 m and its sides are in the ratio 25:17:12. Find its area.

TYPE II: Application based questions-

Q1:  How much paper of each shade is needed to make a kite given in the figure, in which ABCD is a square with diagonal 44 cm?

                                                 

Q2: A design is made on a rectangular title of dimension 50 cm X 70 cm as shown in Fig. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. find the total area of the design and the remaining area of the title.

                                            

Q3. The parallel sides of a trapezium are 25cm and 10cm, the non parallel sides are 14cm and 13cm. Find the area of trapezium.