TEST IX MATHS

1) ABCD represents a plot of land owned by man.

He divides it into two parts by joining diagonal BD and donate the triangular part BAD to an orphanage .

i) If angle CBD=90°, find the area of the plot donated by him.

ii) What are the values shown by the man here ?

2) Some students started a cleanliness campaign in their school. For distribution among the fellow students, they prepared hand fans by stitching 10 equal sized triangular strips of different types of paper (as shown in the given figure).

The dimensions of equal strips are 25cm, 14cm and 25 cm. They wrote slogans for maintaining cleanliness in shaded areas.

i) Find the area used for writing the slogans.

ii) What value are depicted by the students?

3) The diagram given below shows the triangular side walls of the entrance to a library with quotes by Mahatma Gandhi written on them. The sides of each of the triangular walls are 15m, 11m and 6m respectively.

a) Find the area of each of the triangular wall.

b) What values can be inculcated by the two quotes in the visitors ?

4) A woman inherits a triangular plot of land ABC as shown in the figure.

She contributes to society by donating a triangular piece ADC out of this plot for constructing an old age.

i) Find the area of the plot with her.

ii) What values are shown by the woman?

UNIT TEST - A

MM- 10

(1 Mark each)

1) A triangle ABC in which AB= AC = 4cm and angle A= 90°, has an area of 

a) 4cm² b) 16cm² c) 8cm² d) 12cm²

2) The area of a triangle whose sides are 8cm,15 cm and 19 cm is

a) 91√19cm² b) 6√91 cm² c) 19√91cm² d) 8√91cm²

3) Find the area of an equilateral triangle whose perimeter 18 cm. (Take √3= 1.732).    (2)

4) Find the area that needs to be added to the area ∆ ADB,

so that it become equal to the area of ∆ ABC (take √3= 1.732).       (3)

5) Find the area of ∆ ABC in which AB= 36cm, BC = 48cm and AC= 60cm. Find the length of the shortest altitude.     (3)

BOOSTER - A

1) The area of the triangle with the base 8cm and height 10cm is

a) 80cm² b) 40cm² c)  20cm² d) 18 cm²

2) The sides of a triangle are 12cm, 16cm and 20 cm. Its area is 

a)48cm² b)  120cm² c) 96 cm² d) 160 cm²

3) The area of a triangle whose sides are 3cm, 4cm and 5cm is

a) 42cm² b) 6cm² c) 84cm² d) 100cm²

4) If the perimeter of an equilateral triangle is 24m, then its area is 

a) 20√3m² b) 16√3m² d) 8√3 m² d) 24√3 m²

5) If the area of the equilateral triangle is 16√3cm², then the perimeter of the triangle is 

a) 12cm b) 24cm c) 48cm d)  36cm

6) the edges of a triangle board are 6cm, 8cm and 10 cm. The cost of painting it at the rate of 70 paise per cm² is 

a) Rs 7 b) Rs 16.80  c) Rs 17 d) Rs 16

7) The perimeter of a Rhombus is 20cm. If one of its diagonals is 6cm, then its area is

a) 28 cm² b) 36cm² c) 24 cm² d) 20cm²

8) An isosceles right triangle has an area 8cm². The length of the hypotenuse is 

a) 6cm b) √32cm c) 8cm d) 4cm

9) The area of an isosceles triangle having base 24 cm and length of one of the equal side is 20cm is 

a) 480cm² b) 196cm² c)  240cm² d) 192cm²

10) The perimeter of an isosceles triangle is 32 cm. The ratio of equal side to its base is 3:2. Then area of the triangle is 

a) 32√2 cm² b) 32cm² c) 16 √2cm² d) 16cm²

11) If the perimeter and base of an isosceles triangle are 11cm and 5cm respectively, then it's area is 

a) 5√11cm² b) 5√11/2 cm² c) 5√11/8 cm² d) 5√11/4 cm²

12) If the difference between the semi-perimetre 's' and the sides 'a', 'b' and 'c' of ∆ ABC are 8cm, 7 cm and 6cm respectively, then ar(∆ ABC) is

a) 63cm² b) 42 cm² c) 84 cm² d) 168 cm²

13) thre sides of a triangle are 13cm, 14cm and 15cm. The length of the shortest altitude is 

a) 12cm b) 11.2cm c) 12.9cm d) 11.9cm

14) The sides of a triangle are 17cm, 25cm and 26cm. The length of the altitude to the longest side correct up to two places of decimals is 

a) 16.32cm b) 34.00cm c) 15.69cm d) 24.00cm

15) If the perimeter of rhombus whose diagonals measure by 12cm and 16 cm is equal to the perimeter of an isosceles triangle having the equal side and the base in the ratio 3:2, then the area of the isosceles triangle is 

a) 500√2cm² b) 25√2 cm² c) 75√2 cm² d) 100√2cm²