Mensuration MCQ Set 1

MENSURATION MCQ SET 1

1. Consider an equilateral triangle of a side of unit length . A new equilateral triangle is formed by joining the mid – points of one , then a third equilateral triangle is formed by joining the mid – point of seconds . The process is continued . The perimeter of all triangle , thus formed is :

(a) 2 unit

(b) 3 units

(c) 6 units

(d) Infinity

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Answer: C

2. Find the area of an isosceles triangle whose sides are 8 cm , 5 cm and 5 cm .

(a) 12 cm^2

(b) 15 cm^2

(c) 18 cm^2

(d) 20 cm^2

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Answer: A

3. The attitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm . The area (in cm^2) of the triangle is –

(a) 240

(b) 180

(c) 360

(d) 120

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Answer: D

4. The perimeter of an isosceles triangle is 91 cm . If one of the equal sides measures 28 cm , then what is the value of the other non-equal side ?

(a) 56 cm

(b) 42 cm

(c) 14 cm

(d) 35 cm

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Answer: D

5. The area of largest square which is inscribed in a triangle whose sides PQ , QR and PR are 6 units , 8 units and 10 units respectively is in the form of a/b square unit , where a and b are integers . Find the value of (a + b) .

(a) 225

(b) 625

(c) 445

(d) 289

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Answer: B

6. One of the angles of a right angle triangle is 15 degree and the hypotenuse is 1 m . The area of the triangle (in sq. cm.) is

(a) 1220

(b) 1250

(c) 1200

(d) 1215

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Answer: B

7. If hypotenuse of a right angle D is 10 cm . What can be its maximum area ?

(a) 36 cm^2

(b) 25 cm^2

(c) 16 cm^2

(d) 30 cm^2

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 Answer: B

8. The area of triangle is 15 sq cm and the radius of its incircle is 3 cm . Its perimeter is equal to :

(a) 12 cm

(b) 20 cm

(c) 5 cm

(d) 10 cm

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Answer: D

9. The sides of a triangle are 56 cm , 90 cm and 106 cm . The circumference of its circumference is :

(a) 106 π

(b) 109 π

(c) 108 π

(d) 112 π

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Answer: A

10. The perimeter of a triangle is 30 cm and its area is 30 cm^2 . If the largest side measures 13m , what is the length of the smallest side of the triangle?

(a) 3 cm

(b) 4 cm

(c) 5 cm

(d) 6 cm

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Answer: C