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Heron’s Formula EXERCISE 10.1 Solutions
- Q1: A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘$a$’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?
- Q2: The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m (see Fig. 10.6). The advertisements yield an earning of ̀ 5000 per $m^2$ per year. A company hired one of its walls for 3 months. How much rent did it pay?
- Q3: There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN” (see Fig. 10.7 ). If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.
- Q4: Find the area of a triangle two sides of which are 18cm and 10cm and the perimeter is 42cm.
- Q5: Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540cm. Find its area.
- Q6: An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.
Chapters in CBSE - Class 9 Mathematics
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