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
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
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
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
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
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
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
ย 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
Answer: D
9. The sides of a triangle are 56 cm , 90 cm and 106 cm . The circumference of its circumference is :
(a) 106 ฯ
(b) 109 ฯ
(c) 108 ฯ
(d) 112 ฯ
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
Answer: C
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