Questions

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17 questions · timed · auto-graded

Question 11 Mark
If the circumradius of a right triangle is 10 cm and one of the two perpendicular sides is 12 cm, then the area of the triangle is __________.
Answer
$96 cm^2$
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Question 21 Mark
In a triangle, the sum of any two sides exceeds the third by 6 cm. The area of the triangle is __________.
Answer
$9 \sqrt{3} cm^2$
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Question 31 Mark
If each side of a triangle is doubled, then its area is __________ times the area of the original triangle.
Answer
four
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Question 41 Mark
A ground is in the form of a triangle having sides 51 m, 37 m and 20 m. The cost of levelling the ground at the rate of ₹ 3 per $m ^2$ is __________.
Answer
$₹ 918$
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Question 51 Mark
The sides of a scalene triangle are 11 cm, 12 cm and 13 cm. The length of the altitude corresponding to the side having length 12 cm is __________.
Answer
10.25 cm
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Question 61 Mark
Area of an isosceles triangle, one of whose equal side is 5 units and base 6 units is __________.
Answer
12 sq. units
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Question 71 Mark
Among an equilateral triangle, an isosceles triangle and a scalene triangle,__________ has the maximum area if the perimeter of each triangle is same.
Answer
equilateral
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Question 81 Mark
In a scalene triangle, one side exceeds the other two sides by 4 cm and 5 cm respec-tively and the perimeter of the triangle is 36 cm. The area of the triangle is __________.
Answer
$12 \sqrt{21} cm^2$
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Question 91 Mark
Each side of a triangle is multiplied by with the sum of the squares of the other two sides. The sum of all such possible results is 6 times the product of sides. The triangle must be __________.
Answer
equilateral
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Question 101 Mark
The base of a right triangle is 8 cm and hypotenuse is 10 cm. Then its area is __________.
Answer
$24 cm^2$
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Question 121 Mark
If the side of a rhombus is 10 cm and one diagonal is 16 cm, then its area is __________.
Answer
$96 cm^2$
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Question 131 Mark
$\triangle A B C$ is an isosceles right triangle right-angled at A. If AB = 4 cm, then its area is __________.
Answer
$8 cm^2$
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Question 151 Mark
The height of an equilateral triangle is $\sqrt{3} a$ units. Then its area is __________.
Answer
$\sqrt{3} a^2$ sq. units
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Question 161 Mark
If the area of an isosceles right-angled triangle is $72 cm^2$, then its perimeter is __________.
Answer
$12(2+\sqrt{2}) cm$
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