Question : The base of a triangle is 16 cm and its area is 144 cm2. Find its corresponding height, with respect to the given base.
Option 1: 18 cm
Option 2: 9 cm
Option 3: 24 cm
Option 4: 12 cm
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Correct Answer: 18 cm
Solution : The base of a triangle, $b$ = 16 cm Let the corresponding height be $h$. Area of a triangle = 144 cm2 ⇒ $\frac{1}{2} bh$ = 144 ⇒ $h$ = $\frac{144 \times 2}{16}$ = 18 cm Hence, the correct answer is 18 cm.
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Question : Find out the area of the triangle of base 7 cm and the corresponding height of 12 cm.
Option 1: 42 cm2
Option 2: 54 cm2
Option 3: 43 cm2
Option 4: 44 cm2
Question : Find the area of the triangle whose height is 56 cm and the corresponding base is $\frac{1}{4}$th of the height.
Option 1: 544 cm2
Option 2: 440 cm2
Option 3: 392 cm2
Option 4: 480 cm2
Question : The sides of a triangle are 6 cm, 8 cm, and 10 cm. What is the area of the triangle?
Option 1: 20 cm2
Option 2: 28 cm2
Option 3: 24 cm2
Option 4: 16 cm2
Question : What is the area of the lateral surface of a right circular cylinder, If the circumference of the base is 22 cm and its height is four times its radius?
Option 1: 388 cm2
Option 2: 308 cm2
Option 3: 408 cm2
Option 4: 288 cm2
Question : If $\triangle \mathrm{ABC}$ is similar to $\triangle \mathrm{DEF}$ such that $\mathrm{BC}=3 \mathrm{~cm}, \mathrm{EF}=4 \mathrm{~cm}$ and the area of $\triangle \mathrm{ABC}=54 \mathrm{~cm}^2$, then the area of $\triangle \mathrm{DEF}$ is:
Option 1: 78 cm2
Option 2: 96 cm2
Option 3: 66 cm2
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