Page 1 - IX Math CBQ ch-10 Herons formula

SAI International School

Class : IX

Mathematics

Competency Based Questions

Ch-9 Herons Formula

1 The area of a triangle is 150 cm and its sides are in the ratio 3 : 4 : 5. What is its
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perimeter?
a. 10 cm b. 30 cm c. 45 cm d. 60 cm
2 What in the area of an equilateral triangle with side 2 cm?
a. √6cm b. √3cm c. √8cm d. 4cm
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3 If the perimeter of an equilateral triangle is 60 cm, then what is its area?
a. 200√2cm b. 100√2cm c. 100√3cm d. 200√3cm
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4 The sides of a triangle are in the ratio 12: 17: 25 and its perimeter is 540 cm. The area is:
a. 1000 sq.cm b. 5000 sq.cm c. 9000 sq.cm d. 8000 sq.cm
5 A quadrilateral whose sides are 3 cm, 4 cm, 4 cm, 5 cm and one of the diagonal is equal to 5 cm as

per the below figure. The area of the quadrilateral is:

a. 19.17 sq.cm b. 15.17 sq.cm c. 20.17 sq.cm d. 22.17 sq.cm.

6 Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is 42 cm.
7 In a triangle ABC, AB = 15cm, BC = 13cm and AC = 14cm. Find the area of triangle ABC and hence its
altitude on AC
8 Find the area of the quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC
= 5 cm.
9 Two parallel sides of a trapezium are 60 m and 77 m and the other sides are 25 m and 26 m. Find the

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